1.
ＥＢ
by Zvi Arad, Xu Bangteng, Guiyun Chen, Effi Cohen, Arisha Haj Ihia Hussam, Mikhail Muzychuk
2.
ＥＢ
by Sergei Ovchinnikov
3.
ＥＢ
by Xueliang Li, Yuefang Sun
4.
ＥＢ
by Xueliang Li, Yongtang Shi, Ivan Gutman
目次情報:
続きを見る
Preface
Introduction
The Chemical Connection
The Coulson Integral Formula
Common Proof Methods
Bounds for the Energy of Graphs
The Energy of Random Graphs
Graphs Extremal with with Regard to Energy
Hypernergetic and Equienergetic Graphs
Miscellaneous
Other Graph Energies
Bibliography
Index
Preface
Introduction
The Chemical Connection
5.
ＥＢ
by R. Balakrishnan, K. Ranganathan
目次情報:
続きを見る
Preface to the Second Edition
Preface to the First Edition
1 Basic Results
2 Directed Graphs
3 Connectivity
4 Trees
5 Independent Sets and Matchings
6 Eulerian and Hamiltonian Graphs
7 Graph Colorings
8 Planarity
9 Triangulated Graphs
10 Domination in Graphs
11 Spectral Properties of Graphs
Bibliography
Index
Preface to the Second Edition
Preface to the First Edition
1 Basic Results
6.
ＥＢ
by Boris Goldengorin, Panos M. Pardalos
7.
ＥＢ
by Tomaž Pisanski, Brigitte Servatius
目次情報:
続きを見る
Preface
Introduction
Graphs
Groups, Actions, and Symmetry
Maps
Combinatorial Configurations
Geometric Configurations
Index
Bibliography
Preface
Introduction
Graphs
8.
ＥＢ
by Mark Longueville
目次情報:
続きを見る
Preface
List of Symbols and Typical Notation
1 Fair-Division Problems
2 Graph-Coloring Problems
3 Evasiveness of Graph Properties
4 Embedding and Mapping Problems
A Basic Concepts from Graph Theory
B Crash Course in Topology
C Partially Ordered Sets, Order Complexes, and Their Topology
D Groups and Group Actions
E Some Results and Applications from Smith Theory
References
Index
Preface
List of Symbols and Typical Notation
1 Fair-Division Problems
9.
ＥＢ
by Michael A. Henning, Anders Yeo
目次情報:
続きを見る
1. Introduction
2. Properties of Total Dominating Sets and General Bounds
3. Complexity and Algorithmic Results
4.Total Domination in Trees
5.Total Domination and Minimum Degree
6. Total Domination in Planar Graphs
7. Total Domination and Forbidden Cycles
8. Relating the Size and Total Domination Number
9. Total Domination in Claw-Free Graphs
10. Total Domination Number versus Matching Number
11. Total Domination Critical Graphs
12. Total Domination and Graph Products
13. Graphs with Disjoint Total Dominating Sets
14. Total Domination in Graphs with Diameter Two
15. Nordhaus-Gaddum Bounds for Total Domination
16. Upper Total Domination
17.Variations of Total Domination
18. Conjectures and Open Problems
Index
1. Introduction
2. Properties of Total Dominating Sets and General Bounds
3. Complexity and Algorithmic Results
10.
ＥＢ
by Joanna A. Ellis-Monaghan, Iain Moffatt
目次情報:
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1. Embedded Graphs
2. Generalised Dualities
3. Twisted duality, cycle family graphs, and embedded graph equivalence
4. Interactions with Graph Polynomials
5. Applications to Knot Theory .- References
Index
1. Embedded Graphs
2. Generalised Dualities
3. Twisted duality, cycle family graphs, and embedded graph equivalence
11.
ＥＢ
by Richard P. Stanley
目次情報:
続きを見る
Preface
Notation.- 1. Walks in graphs
2. Cubes and the Radon transform
3. Random walks
4. The Sperner property
5. Group actions on boolean algebras
6. Young diagrams and q-binomial coefficients
7. Enumeration under group action
8. A glimpse of Young tableaux
Appendix. The RSK algorithm
Appendix. Plane partitions
9. The Matrix–Tree Theorem
Appendix. Three elegant combinatorial proofs
10. Eulerian diagraphs and oriented trees
11. Cycles, bonds, and electrical networks
12. Miscellaneous gems of algebraic combinatorics
Hints
References
Preface
Notation.- 1. Walks in graphs
2. Cubes and the Radon transform
12.
ＥＢ
by Toshikazu Sunada
13.
ＥＢ
edited by Jaroslav Nešetřil, Marco Pellegrini
14.
ＥＢ
by Leonidas S. Pitsoulis
目次情報:
続きを見る
1.Introduction
2.Graph Theory, Vector Spaces and Transversals
3.Definition of Matroids
4.Representability, Duality, Minors, and Connectivity
5. Decomposition of Graphic Matroids
6.Signed-Graphic Matroids
List of Symbols
Index
1.Introduction
2.Graph Theory, Vector Spaces and Transversals
3.Definition of Matroids
15.
ＥＢ
by Tom Johnson, Franck Jedrzejewski
目次情報:
続きを見る
Introduction
1. Permutations
1.1 Symmetric Group
1.2 Bruhat Order
1.3 Euler Characteristic
1.4 Group Action
1.5 Permutohedra and Cayley Graphs
1.6 Coxeter Groups
1.7 Homometric Sets
2. Sums
2.1 Integer Partitions
References
3. Subsets
3.1 Combinatorial Designs
4 Kirkman’s Ladies, a Combinatorial Design
4.1 Steiner and Kirkman Systems
5. Twelve
5.1 (12,4,3)
6. (9,4,3)
6.1 Decomposition of Block Designs
7. 55 Chords
7.1 Chords and Designs.-8. Clarinet Trio
8.1 Strange Fractal Sequences
9. Loops
9.1 Self-Replicating Melodies
9.2 Rhythmic Canons.-10. Juggling
10.1 Juggling, Groups, and Braids
11. Unclassified
11.1 Some Other Designs
A Figures
Introduction
1. Permutations
1.1 Symmetric Group
16.
ＥＢ
by Ross G. Pinsky
目次情報:
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Partitions With Restricted Summands or "The Money Changing Problem"
The Asymptotic Density of Relatively Prime Pairs and of Square-Free Numbers
A One-Dimensional Probabilistic Packing Problem
The Arcsine Laws for the One-Dimensional Simple Symmetric Random Walk
The Distribution of Cycles in Random Permutations
Chebyshev's Theorem on the Asymptotic Density of the Primes
Mertens' Theorems on the Asymptotic Behavior of the Primes
The Hardy-Ramanujan Theorem on the Number of Distinct Prime Divisors
The Largest Clique in a Random Graph and Applications to Tampering Detection and Ramsey Theory
The Phase Transition Concerning the Giant Component in a Sparse Random Graph–a Theorem of Erdős and Rényi
Partitions With Restricted Summands or "The Money Changing Problem"
The Asymptotic Density of Relatively Prime Pairs and of Square-Free Numbers
A One-Dimensional Probabilistic Packing Problem
17.
ＥＢ
by Michel-Marie Deza, Mathieu Dutour Sikirić, Mikhail Ivanovitch Shtogrin
目次情報:
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Chapter 1. Introduction: main ZC-notions
Chapter 2. Zigzags of fullerenes and c-disk-fullerenes
Chapter 3. Zigzags and railroads of spheres 3_v and 4_v
Chapter 4. ZC-circuits of 4-regular and self-dual {2,3,4}-spheres
Chapter 5. ZC-circuits of 5- and 6-regular spheres
Chapter 6. Goldberg–Coxeter construction and parametrization
Chapter 7. ZC-circuits of Goldberg–Coxeter construction
Chapter 8. Zigzags of polytopes and complexes
Chapter 1. Introduction: main ZC-notions
Chapter 2. Zigzags of fullerenes and c-disk-fullerenes
Chapter 3. Zigzags and railroads of spheres 3_v and 4_v
18.
ＥＢ
by Itai Benjamini
目次情報:
続きを見る
Isoperimetry and expansions in graphs
Several metric notions
The hyperbolic plane and hyperbolic graphs
More on the structure of vertex transitive graphs
Percolation on graphs
Local limits of graphs
Random planar geometry
Growth and isoperimetric profile of planar graphs
Critical percolation on non-amenable groups
Uniqueness of the infinite percolation cluster
Percolation perturbations
Percolation on expanders
Harmonic functions on graphs
Nonamenable Liouville graphs
Isoperimetry and expansions in graphs
Several metric notions
The hyperbolic plane and hyperbolic graphs
19.
ＥＢ
edited by Jacek Banasiak, Mustapha Mokhtar-Kharroubi
目次情報:
続きを見る
Wilson Lamb: Applying functional analytic techniques to evolution equations
Adam Bobrowski: Boundary conditions in evolutionary equations in biology.-Ernesto Estrada: Introduction to Complex Networks: Structure and Dynamics.-Jacek Banasiak: Kinetic models in natural sciences
Philippe Laurençot: Weak compactness techniques and coagulation equations
Ryszard Rudnicki: Stochastic operators and semigroups and their applications in physics and biology
Mustapha Mokhtar-Kharroubi: Spectral theory for neutron transport.-Anna Marciniak-Czochra: Reaction-diffusion-ODE models of pattern formation
Mapundi Kondwani Banda: Nonlinear Hyperbolic Systems of Conservation Laws and Related Applications
Wilson Lamb: Applying functional analytic techniques to evolution equations
Adam Bobrowski: Boundary conditions in evolutionary equations in biology.-Ernesto Estrada: Introduction to Complex Networks: Structure and Dynamics.-Jacek Banasiak: Kinetic models in natural sciences
Philippe Laurençot: Weak compactness techniques and coagulation equations
20.
ＥＢ
by P.R. Kumar, Martin J. Wainwright, Riccardo Zecchina ; edited by Fabio Fagnani, Sophie M. Fosson, Chiara Ravazzi
21.
ＥＢ
edited by Peter M. Schuster, Monika Seisenberger, Andreas Weiermann
目次情報:
続きを見る
Well, Better, and in-between
The Categorical Structure of Well-Quasi Orders
On Kriz's Theorem
On the Width of FAC Orders, a Somewhat Rediscovered Notion
Preliminary Well-quasi Orders in the Study of Hierarchies and Reducibilities
The Ideal Approach to Computing Closed Subsets in Well-Quasi-Orderings
Well-Quasi Orders and Regularity
Well Quasi Ordering and Embeddability of Relational Structures
A Functional Interpretation of Zorn's Lemma and its Application in Well-Quasi-Order Theory
The Reverse Mathematics of wqos and bqos
Well-partial Ordering and the Maximal Order Type
TBC
The Worlds of Well-Partial-Orders and Ordinal Notation systems
Bounds for the Strength of the Graph Minor Theorem
Well, Better, and in-between
The Categorical Structure of Well-Quasi Orders
On Kriz's Theorem
22.
ＥＢ
edited by Naokant Deo, Vijay Gupta, Ana Maria Acu, P. N. Agrawal
目次情報:
続きを見る
M. Singh, N. Handa and S. Singhal, Exact Solution for Mixed Integrals Equations by Method of Bernoulli Polynomials
N. Kumari and N. Mohan, Turing Pattern in a Cross Diffusive System
V. Laha and H. N. Singh, On Multi objective Optimization Problems and Vector Variational-Like Inequalities
A. Haq and N. Sukavanam, Controllability of Semi linear Control Systems with Fixed Delay in State
J. Kumar and V. Shinde, Computational Performance of Server by using the MX/M/1 Queue Model
H. Islam, Om Prakash and R. K. Verma, Quantum Codes from the Cyclic Codes over Fp[v, w]/⟨v2 −1,w2 −1,vw – wvs)
S. K. Bhatia, S. Chauhan and P. Arora: Effect of Sterile Insect Technique on Dynamics of Stage Structured Model under Immigration
P. Mahajan, S. K. Srivastava and R. Dogra, Strict Practical Stability of Impulsive Differential System in Terms of Two Measures
H. Mittal and D. K. Sharma: Free Vibration Analysis of Rigidly Fixed Axisymmetric Viscothermoelastic Cylinder
B. G. Choksi and T. R. Singh: Study on a Free Boundary Problem Arising in Porous Media
N. Goel, S. Chauhan and S. K. Bhatia: Effect of Habitat on Dynamic of Native and Exotic Prey Predator Population
R. Jain and A. K. Jain: Number of Cliques in Line, Lict and Lictact Graphs
K. N. Rao: Friendship-Like Graphs and Its Classification
A. Joshi and A. Kumar, Chaotic Maps: Applications to Cryptography and Network Generation for the Graph Laplacian Quantum States
T. Agarwal, N. Saroha and G. Kumar, Consumer Behavior Analysis for Purchasing a Passenger Car in India
A. Saleena and J. J. John C, A New Hybrid Model based on Triple Exponential Smoothing and Fuzzy Time Series for Forecasting Seasonal Time Series
R. N. Saraswat and A. Umar, New Fuzzy Divergence Measure and Its Applications in Multi Criteria Decision Making Using New Tool
N. K. Badhwar, S. Daniel and V. Kumar: An SIR Age-structured Model for Vector-Borne Diseases with Infective Immigrants
B. K. Singh and A. Kumar, Numerical Study of Conformable Space and Time Fractional Fokker–Planck Equation via CFDT Method
B. K. Singh, Multispectral Bayer Color Image Encryption
D. Soybaş and S. Sevgi, Investigation of Prospective Elementary Teachers' Opinions about Problem Concept
M. Singh, N. Handa and S. Singhal, Exact Solution for Mixed Integrals Equations by Method of Bernoulli Polynomials
N. Kumari and N. Mohan, Turing Pattern in a Cross Diffusive System
V. Laha and H. N. Singh, On Multi objective Optimization Problems and Vector Variational-Like Inequalities
23.
ＥＢ
edited by Martin T. Barlow, Gordon Slade
出版情報:
Cham : Springer International Publishing : Imprint: Springer, 2020
シリーズ名:
Springer Proceedings in Mathematics & Statistics ; 304
子書誌情報:
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オンライン:
https://doi.org/10.1007/978-3-030-32011-9
所蔵情報:
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目次情報:
Scaling Limits of Random Trees and Random Graphs (C. Goldschmidt)
Lectures on the Ising and Potts Models on the Hypercubic Lattice (H. Duminil-Copin)
Extrema of the Two-Dimensional Discrete Gaussian Free Field (M. Biskup)
Scaling Limits of Random Trees and Random Graphs (C. Goldschmidt)
Lectures on the Ising and Potts Models on the Hypercubic Lattice (H. Duminil-Copin)
Extrema of the Two-Dimensional Discrete Gaussian Free Field (M. Biskup)
24.
ＥＢ
edited by Bahar Acu, Donatella Danielli, Marta Lewicka, Arati Pati, Saraswathy RV, Miranda Teboh-Ewungkem
出版情報:
Cham : Springer International Publishing : Imprint: Springer, 2020
シリーズ名:
Association for Women in Mathematics Series ; 21
子書誌情報:
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オンライン:
https://doi.org/10.1007/978-3-030-42687-3
所蔵情報:
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目次情報:
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Preface
I. From the Plenary Talks
Finite element methods for elliptic distributed optimal control problems with pointwise state constraints (S.C. Brenner)
II. Algebraic Combinatorics and Graph Theory
Some q-exponential formulas involving the double lowering operator ψ for a tridiagonal pair (S. Bockting-Conrad)
Distance graphs generated by five primes (D.D-F. Liu, G. Robinson, A. Chavez)
Combinatorial characterization of queer supercrystals (M. Gillespie, G. Hawkes, W. Poh, A. Schilling)
(Tenner)
III. Algebraic Biology
From chaos to permanence using control theory (S. Koshy-Chenthittayil, E. Dimitrova)
Classification on large networks (A. Haupt, T. Schultz, M. Kharami, N. Tran)
Gröbner bases of convex neural code ideals (K. Phillipson, E.S. Dimitrova, M. Honecker, J. Hu, Q. Liang)
Gröbner bases of convex neural code ideals (B. Stigler, A. Zhang)
IV. Commutative Algebra
Depth of powers of squarefree monomial ideals (L. Fouli, H.T. Hà, S. Morey)
A note on the uniqueness of zero-divisor graphs with loops (A. Li, R. Miller, R.P. Tucci)
Some combinatorial cases of the three matrix analog of Gerstenhaber’s theorem (J. Rajchgot, M. Satriano, W. Shen)
Structure of semigroup rings (H. Srinivasan)
Using Monte Carlo particle methods to estimate and quantify uncertainty in periodic parameters (A. Arnold)
A note on singularity formation for nonlocal transport equation (V. Hoang, M. Radosz)
Prescribing initial values for the sticky particle system (R. Hynd)
Towards directed collapsibility (R. Belton, R. Brooks, S. Ebli, L. Fajstrup, B.T. Fasy, C. Ray, N. Sanderson, E. Vidaurre)
Contact Open Books and Sympectic Lefschetz Fibrations (B. Acu)
A robust preconditioner for high-contrast problems (Y. Gorb, D. Kurzanova, Y. Kuznetsov)
On the dimension reduction in prestrained elasticity (S. Jimezes Bolanos)
Machine learning in crowd flow exit data (F.P. Medina)
The matter of shape (M. Ozkar)
Being research-based and research-minded in helping K-12 mathematics education (A. Ekmekci, A. Papakonstantinou)
The Rice University school mathematics project (A. Papakonstantinou, A. Ekmekci)
Preface
I. From the Plenary Talks
Finite element methods for elliptic distributed optimal control problems with pointwise state constraints (S.C. Brenner)
25.
ＥＢ
by Colton Magnant, Pouria Salehi Nowbandegani
目次情報:
続きを見る
1. Introduction and Basic Definitions
2. General Structure Under Forbidden Rainbow Subgraphs
3. Gallai-Ramsey Results for Rainbow Triangles
4. Gallai-Ramsey Results for Other Rainbow Subgraphs
5. Conclusion and Open Problems
1. Introduction and Basic Definitions
2. General Structure Under Forbidden Rainbow Subgraphs
3. Gallai-Ramsey Results for Rainbow Triangles
26.
ＥＢ
edited by Teresa W. Haynes, Stephen T. Hedetniemi, Michael A. Henning
目次情報:
続きを見る
Glossary of Common Terms(W. Haynes)
Models of Domination in Graphs(W. Haynes)
Paired Domination in Graphs(W. Haynes)
Connected domination (Chellali)
Restrained and total restrained domination in graphs(H. Hattingh)
Multiple domination(Hansberg)
Distance Domination in Graphs(A. Henning)
Locating-Domination and Identification(Lobstein)
Signed and Minus Dominating Functions in Graphs(Shan)
Fractional Dominating Parameters(A Henning)
Roman domination in graphs(Chellali)
Rainbow Domination in Graphs(Bresar)
Eternal and Secure Domination in Graphs(M Mynhardt)
Strati ed Domination(Chartrand)
Global Domination(C. Brigham)
Power domination in graphs(Dorbec)
Glossary of Common Terms(W. Haynes)
Models of Domination in Graphs(W. Haynes)
Paired Domination in Graphs(W. Haynes)
27.
ＥＢ
by Madhumangal Pal, Sovan Samanta, Ganesh Ghorai
目次情報:
続きを見る
1.Fundamentals of Fuzzy Graphs
2. Fuzzy Planar Graphs
3. Fuzzy Competition Graphs
4. Fuzzy Threshold Graphs
5. Fuzzy Tolerance Graphs
6. Bipolar Fuzzy Graphs
7. Intuitionistic Fuzzy graphs
8. Interval-valued Fuzzy Graphs
9. Application of Fuzzy Graphs
1.Fundamentals of Fuzzy Graphs
2. Fuzzy Planar Graphs
3. Fuzzy Competition Graphs
28.
ＥＢ
edited by Dumitru I. Stamate, Tomasz Szemberg
出版情報:
Cham : Springer International Publishing : Imprint: Springer, 2020
シリーズ名:
Springer Proceedings in Mathematics & Statistics ; 331
子書誌情報:
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オンライン:
https://doi.org/10.1007/978-3-030-52111-0
所蔵情報:
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目次情報:
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Nearly normally torsionfree ideals (Andrei-Ciobanu)
Gröbner-nice pairs of ideals (Stamate)
Veneroni maps (Tutaj-Gasi´nska et al.)
On the symbolic powers of binomial edge ideals (Herzog et al.)
Multigraded Betti numbers of some path ideals (Erey)
Depth of an initial ideal (Tsuchiya et al.)
Asymptotic behavior of symmetric ideals: A brief survey (Römer et al.)
On piecewise-linear homeomorphisms between distributive and anti-blocking polyhedra (Sanyal et al.)
The Bass-Quillen Conjecture and Swan’s question (Popescu)
Licci level Stanley-Reisner ideals with height three and with type two (Yoshida et al.)
Homological and combinatorial properties of powers of cover ideals of graphs (Fakhari)
Fermat-type arrangements (Szpond)
Nearly normally torsionfree ideals (Andrei-Ciobanu)
Gröbner-nice pairs of ideals (Stamate)
Veneroni maps (Tutaj-Gasi´nska et al.)
29.
ＥＢ
by Craig Smoryński
目次情報:
続きを見る
1 Introduction
2 Logic Puzzles
3 Some Basic Mathematical Exercises
4 Probability
5 Graph Theory
A Further Explorations
Index
1 Introduction
2 Logic Puzzles
3 Some Basic Mathematical Exercises
30.
ＥＢ
by Michael A. Henning, Anders Yeo
目次情報:
続きを見る
1. Introduction
2. Linear Intersection Hypergraphs
3. Finite Affine Planes and Projective Planes
4 . The Tuza Constants
5. The Tuza Constant c4
6. The Tuza Constant ck for k Large
7. The West Bound
8. The Deficiency of a Hypergraph
9. The Tuza Constant q4
10. The Tuza Constant qk for Large k
11. The Cap Set Problem
12. Partial Steiner Triple Systems
13. Upper Transversals in Linear Hypergraphs
14. Strong Tranversals in Linear Hypergraphs
15. Conjectures and Open Problems
References
Glossary
1. Introduction
2. Linear Intersection Hypergraphs
3. Finite Affine Planes and Projective Planes
31.
ＥＢ
by Boštjan Brešar, Michael A. Henning, Sandi Klavžar, Douglas F. Rall
目次情報:
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1. Introduction
2. Domination Game.-3. Total Domination Game
4. Games for Staller
5. Related Games on Graphs and Hypergraphs.-References.-Symbol Index
1. Introduction
2. Domination Game.-3. Total Domination Game
4. Games for Staller
32.
ＥＢ
by Lowell W. Beineke, Jay S. Bagga
目次情報:
続きを見る
Part I Line Graphs
1 Fundamentals of Line Graphs
2 Line Graph Isomorphisms
3 Characterization of Line Graphs
4 Spectral Properties of Line Graphs
5 Planarity of Line Graphs
6 Connectivity of Line Graphs
7 Tranversability in Line Graphs
8 Colorability in Line Graphs
9 Distance and Transitivity in Line Graphs
Part II Line Digraphs
10 Fundamentals of Line Digraphs
11 Characterizations of Line Digraphs
12 Iterated Line Digraphs
Part III Generalizations
13 Total Graphs and Total Digraphs
14 Path Graphs and Path Digraphs
15 Super Line Graphs and Super Line Digraphs
16 Line Graphs of Signed Graphs
17 The Krausz Dimension of Graph
Reference. Index of Names
Index of Definitions
Part I Line Graphs
1 Fundamentals of Line Graphs
2 Line Graph Isomorphisms
33.
ＥＢ
by Tullio Ceccherini-Silberstein, Michele D'Adderio
目次情報:
続きを見る
- Foreword
Preface
Part I Algebraic Theory: 1. Free Groups
2. Nilpotent Groups
3. Residual Finiteness and the Zassenhaus Filtration
4. Solvable Groups
5. Polycyclic Groups
6. The Burnside Problem
Part II Geometric Theory: 7. Finitely Generated Groups and Their Growth Functions
8. Hyperbolic Plane Geometry and the Tits Alternative
9. Topological Groups, Lie Groups, and Hilbert Fifth Problem
10. Dimension Theory
11. Ultrafilters, Ultraproducts, Ultrapowers, and Asymptotic Cones
12. Gromov’s Theorem
Part III Analytic and Probabilistic Theory: 13. The Theorems of Polya and Varopoulos
14. Amenability, Isoperimetric Profile, and Følner Functions
15. Solutions or Hints to Selected Exercises
References
Subject Index
Index of Authors
- Foreword
Preface
Part I Algebraic Theory: 1. Free Groups
34.
ＥＢ
edited by Jaroslav Nešetřil, Guillem Perarnau, Juanjo Rué, Oriol Serra
目次情報:
続きを見る
Size of local finite field Kakeya sets
Coloring of Graphs Avoiding Bicolored Paths of a Fixed Length
Nested cycles with no geometric crossings
Cut vertices in random planar graphs
Extremal density for sparse minors and subdivisions
Enumerating descents on quasi-Stirling permutations and plane trees
Hamiltonicity of randomly perturbed graphs
The largest hole in sparse random graphs
On 13-Crossing-Critical Graphs with Arbitrarily Large Degrees
Local convergence of random planar graphs
Some results on the Laplacian spectra of token graphs
On the Number of Compositions of Two Polycubes
Halin's end degree conjecture
Coloring Circle Arrangements: New 4-Chromatic Planar Graphs
A Short Proof of Euler–Poincaré Formula
Approximate MDS Property of Linear Codes
A SAT attack on higher dimensional Erd\H{o}s--Szekeres numbers
Improved bounds on the cop number of a graph drawn on a surface
Stability of Berge-hypergraphs]{Stability of extremal connected hypergraphs avoiding Berge-paths, (extended abstract)
On tangencies among planar curves]{On tangencies among planar curves with an application to coloring L-shapes
Semi-random process without replacement
The intersection spectrum of 3-chromatic intersecting hypergraphs
On ordered Ramsey numbers of tripartite 3-uniform hypergraphs
Hypergraphs with minimum positive uniform Turan density
Rainbow cliques in randomly perturbed dense graphs
Universal singular exponents in catalytic variable equations
The expected number of perfect matchings in cubic planar graphs
Gallai-Ramsey number for complete graphs
On the dichromatic number of surfaces
Supersaturation, counting, and randomness inforbidden subposet problems
Path decompositions of tournaments
Sorting by shuffling methods and a queue
Circular coloring of signed bipartite planar graphs
Results on the Graceful Game and Range-Relaxed Graceful Game
New bounds on the modularity of Johnson graphs and random subgraphs of Johnson graphs
On Bipartite Sum Basic Equilibria
Characterization and enumeration of preimages under the Queuesort algorithm
On off-diagonal ordered Ramsey numbers of nested matchings
Bounds on half graph orders in powers of sparse graphs
The homotopy type of the independence complex of graphs with no induced cycles of length divisible by $3$
The Maximum Number of Paths of Length Three in a Planar Graph
Strongly Pfaffian Graphs
Strong modeling limits of graphs with bounded tree-width
Loose cores and cycles in random hypergraphs (extended abstract)
Building a larger class of graphs for efficient reconfiguration of vertex colouring
A refinement of Cauchy-Schwarz complexity, with applications (extended abstract)
The Ising antiferromagnet in the replica symmetric phase
A simple (2+\epsilon)-approximation algorithm for Split Vertex Deletion
On graphs without an induced path on 5 vertices and without an induced dart or kite
Constant congestion brambles in directed graphs
Component behaviour of random bipartite graphs
Maximising line subgraphs of diameter at most $t$
Unavoidable hypergraphs
$2$-distance $(\Delta+1)$-coloring of sparse graphs using the potential method
Graphs where Search Methods are Indistinguishable
Discrete Helly-type theorems for pseudohalfplanes
Cycles of Many Lengths in Hamiltonian Graphs
Maximal $k$-wise $\ell$-divisible set families are atomic
A Trivariate Dichromate Polynomial for Digraphs
Schur's Theorem for randomly perturbed sets
Unit Disk Visibility Graphs
Waiter-Client Games on Randomly Perturbed Graphs
Vector Choosability in Bipartite Graphs
Tight bounds on the expected number of holes in random point sets
The game of Toucher and Isolator
Hermitian rank-metric codes
The Flat Wall Theorem for Bipartite Graphs with Perfect Matchings
Big Ramsey degrees and forbidden cycles
The Ramsey number for 4-uniform tight cycles
Chip-firing on the complete split graph: Motzkin words and tiered parking functions
Long shortest cycle covers in cubic graphs
Powers of Hamilton cycles of high discrepancy are unavoidable
Low Diameter Algebraic Graphs
The fractional chromatic number of double cones over graphs
Complexity of $3+1/m$-coloring $P_t$-free graphs
Shattering Threshold for the Coloring Problem of a Random Hypergraph
Integer covering problems and max-norm Ramsey theorems
Unit disks hypergraphs are three-colorable
Characterization of FS-double Squares Ending with Two Distinct Squares
On asymmetric hypergraphs
On Multicolour Ramsey Numbers and Subset-Colouring of Hypergraphs
Max Cuts in Triangle-free Graphs
On the cycle rank conjecture about metric dimension and zero forcing number in graphs
Tight bounds for powers of Hamilton cycles in tournaments
On sufficient conditions for Hamiltonicity in dense graphs
On the maximum number of weakly-rainbow-free edge-colorings
Degree conditions for tight Hamilton cycles
An Approximate Structure Theorem for Small Sumsets
Classification of Local Problems on Paths from the Perspective of Descriptive Combinatorics
On the enumeration of plane bipolar posets and transversal structures
The characterization of graphs whose sandpile group has fixed number of generators
Kissing number in non-Euclidean spaces of constant sectional curvature
Decomposing cubic graphs with cyclic connectivity 5
Dirac-type conditions for spanning bounded-degree hypertrees
Outer 1-string graphs of girth at least five are 3-colorable
The rainbow Turan number of even cycles
Trees with few leaves in tournaments
Uncommon systems of equations
Exchange properties of finite set-systems
On a question of Vera T. Sós about size forcing of graphons (extended abstract)
On Deeply Critical Oriented Cliques
Big Ramsey degrees of the generic partial order
The square of a Hamilton cycle in randomly perturbed graphs
On extremal problems concerning the traces of sets
The chromatic number of signed graphs with bounded maximum average degree
Maker--Breaker games with constraints
Parallelisms of PG(3,5) with an automorphism group of order 25
On Alternation, VC-dimension and k-fold Union of Sets
Weak components of the directed conguration model
Decomposing and Colouring Locally Out-Transitive Oriented Graphs
Ramsey expansions of 3-hypertournaments
Path decompositions of random directed graphs
Large multipartite subgraphs in H-free graphs
Kempe changes in bounded treewidth graphs
No Selection Lemma for Empty Triangles
The mod $k$ chromatic index of random graphs
Constructions of betweenness-uniform graphs from trees
On the homomorphism order of oriented paths and trees
On chromatic number of (n, m)-graphs
On a problem of Füredi and Griggs
Gallai's path decomposition for planar graphs
Tuza's Conjecture for threshold graphs
Covering three-tori with cubes
New bounds on $k$-geodetic digraphs and mixed graphs
Counting $C_k$-free orientations of $G(n,p)$
Counting Circuit Double Covers
Oriented graphs with lower orientation Ramsey thresholds
Random 2-cell embeddings of multistars -- Cycle saturation in random graphs -- On the maximum cut in sparse random hypergraphs -- Asymptotics for connected graphs and irreducible tournament -- Interval representation of balanced separators in graphs avoiding a minor -- Lines in the Manhattan plane -- A rainbow connectivity threshold for random graph families -- Robust Connectivity of Graphs on Surfaces
Size of local finite field Kakeya sets
Coloring of Graphs Avoiding Bicolored Paths of a Fixed Length
Nested cycles with no geometric crossings
35.
ＥＢ
edited by Teresa W. Haynes, Stephen T. Hedetniemi, Michael A. Henning
目次情報:
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1. Glossary of Common Terms (Haynes)
Part 1. Related Parameters: 2. Broadcast Domination in Graphs (MacGillivray)
3. Alliances and Related Domination Parameters (Haynes)
4. Fractional Domatic, Idomatic and Total Domatic Numbers of a Graph (Goddard)
5. Dominator and Total Dominator Colorings in Graphs (Henning)
6. Irredundance (Mynhardt)
7. The Private Neighbor Concept (McRae)
8. An Introduction to Game Domination in Graphs (Henning)
9. Domination and Spectral Graph Theory (Hoppen)
10. Varieties of Roman Domination (Chellali)
Part 2. Domination in Selected Graph Families: 11. Domination and Total Domination in Hypergraphs (Yeo)
12. Domination in Chessboards (Hedetniemi)
13. Domination in Digraphs (Haynes)
Part 3. Algorithms and Complexity: 14. Algorithms and Complexity of Signed, Minus and Majority Domination (McRae)
15. Algorithms and Complexity of Power Domination in Graphs (Mohan)
16. Self-Stabilizing Domination Algorithms (Hedetniemi)
17. Algorithms and Complexity of Alliances in Graphs (Hedetniemi)
1. Glossary of Common Terms (Haynes)
Part 1. Related Parameters: 2. Broadcast Domination in Graphs (MacGillivray)
3. Alliances and Related Domination Parameters (Haynes)
36.
ＥＢ
by David F. Anderson, T. Asir, Ayman Badawi, T. Tamizh Chelvam
目次情報:
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Introduction
Distances in zero-divisor graphs
Properties of zero-divisor graphs
Genus of zero-divisor graphs
Zero-divisor graph generalizations
Total graphs of commutative rings
Graphs from total graphs
Generalized total graphs
Other graphs associated with rings
Bibliography
Index
Introduction
Distances in zero-divisor graphs
Properties of zero-divisor graphs
37.
ＥＢ
by Zvi Lotker
目次情報:
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Chapter 1. Overview of the Book
Part 1: Static Literature Networks
Chapter 2. Graphs in Dramas
Chapter 3. Partition in Social Network
Chapter 4. Taking the Road Less Traveled: Decision Matrices
Chapter 5. Social Rationality and Networks
Chapter 6. Sun Tzu Says: Direct Attack
Chapter 7. Indirect Attack
Chapter 8. 1812: Social Networks Capture Napoleon
Chapter 9. The Search for Conflict
Chapter 10. Ego Networks in Dramas
Part 2: Evolution and Time in Literature Networks
Chapter 11. Introduction to Evolving Social Networks
Chapter 12. Clocks
Chapter 13. M-Diagrams
Chapter 14. The Tale of Two Clocks
Chapter 15. Real Functions
Chapter 16. Evolving Social Network High Dimensions and Time Frames
Chapter 1. Overview of the Book
Part 1: Static Literature Networks
Chapter 2. Graphs in Dramas
38.
ＥＢ
by Martin Charles Golumbic, André Sainte-Laguë
目次情報:
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Foreword
Preface
Tracing the topics in Les Réseaux (ou Graphes)
Networks (or Graphs)— André Sainte-Laguë (1926)
I Introduction and definitions
II Trees
III Chains and cycles
IV Regular graphs
V Cubic graphs
VI Tableaux
VII Hamiltonian graphs
VIII Chessboard problems
X Conclusion
A short biography of André Sainte-Laguë
Biography of Guy Ghidale Iliovici
Bibliography
Index
Glossary
Acknowledgements
Martin Charles Golumbic
Foreword
Preface
Tracing the topics in Les Réseaux (ou Graphes)
39.
ＥＢ
by James McKee, Chris Smyth
目次情報:
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1 Mahler Measures of Polynomials in One Variable
2 Mahler Measures of Polynomials in Several Variables
3 Dobrowolski's Theorem
4 The Schinzel–Zassenhaus Conjecture
5 Roots of Unity and Cyclotomic Polynomials
6 Cyclotomic Integer Symmetric Matrices I: Tools and Statement of the Classification Theorem
7 Cyclotomic Integer Symmetric Matrices II: Proof of the Classification Theorem
8 The Set of Cassels Heights
9 Cyclotomic Integer Symmetric Matrices Embedded in Toroidal and Cylindrical Tesselations
10 The Transfinite Diameter and Conjugate Sets of Algebraic Integers
11 Restricted Mahler Measure Results
12 The Mahler Measure of Nonreciprocal Polynomials
13 Minimal Noncyclotomic Integer Symmetric Matrices
14 The Method of Explicit Auxiliary Functions
15 The Trace Problem For Integer Symmetric Matrices
16 Small-Span Integer Symmetric Matrices
17 Symmetrizable Matrices I: Introduction
18 Symmetrizable Matrices II: Cyclotomic Symmetrizable Integer Matrices
19 Symmetrizable Matrices III: The Trace Problem
20 Salem Numbers from Graphs and Interlacing Quotients
21 Minimal Polynomials of Integer Symmetric Matrices
22 Breaking Symmetry
A Algebraic Background
B Combinatorial Background
C Tools from the Theory of Functions
D Tables
References
Index
1 Mahler Measures of Polynomials in One Variable
2 Mahler Measures of Polynomials in Several Variables
3 Dobrowolski's Theorem
40.
ＥＢ
by Michal Křížek, Lawrence Somer, Alena Šolcová
目次情報:
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Foreword
1. Divisibility and Congruence
2. Prime and Composite Numbers
3. Properties of Prime Numbers
4. Special Types of Primes
5. On a Connection of Number Theory with Graph Theory
6. Pseudoprimes
7. Fibonacci and Lucas Numbers
8. Further Special Types of Integers
9. Magic and Latin Squares
10. The Mathematics Behind Prague's Horologe
11. Applications of Primes
12. Further Applications of Number Theory
Tables
References
Foreword
1. Divisibility and Congruence
2. Prime and Composite Numbers
41.
ＥＢ
edited by Daniela Ferrero, Leslie Hogben, Sandra R. Kingan, Gretchen L. Matthews
出版情報:
Cham : Springer International Publishing : Imprint: Springer, 2021
シリーズ名:
Association for Women in Mathematics Series ; 25
子書誌情報:
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オンライン:
https://doi.org/10.1007/978-3-030-77983-2
所蔵情報:
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目次情報:
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Finding Long Cycles in Balanced Tripartite Graphs: A First Step (L. Lesniak)
Product Thottling (L.Hogben)
Analysis of Termatiko Sets in Measurement Matrices (L. Matthews)
The Threshold Dimension and Threshold Strong Dimension of a Graph: A Survey (O. Oellermann)
Symmetry Parameters for Mycielskian Graphs (D. Boutin)
Reconfiguration Graphs for Dominating Sets (R. Haas)
Finding Long Cycles in Balanced Tripartite Graphs: A First Step (L. Lesniak)
Product Thottling (L.Hogben)
Analysis of Termatiko Sets in Measurement Matrices (L. Matthews)
42.
ＥＢ
by Akbar Ali, Gary Chartrand, Ping Zhang
目次情報:
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1. Introduction
2. Locally Irregular Graphs
3. F-Irregular Graphs
4. Irregularity Strength
5. Rainbow Mean Index
6. Royal Colorings
7. Traversable Irregularity
8. Ascending Subgraph Decompositions
Index
1. Introduction
2. Locally Irregular Graphs
3. F-Irregular Graphs
43.
ＥＢ
by Matthias Keller, Daniel Lenz, Radosław K. Wojciechowski
出版情報:
Cham : Springer International Publishing : Imprint: Springer, 2021
シリーズ名:
Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics ; 358
子書誌情報:
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オンライン:
https://doi.org/10.1007/978-3-030-81459-5
所蔵情報:
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目次情報:
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Part 0 Prelude
Chapter 0 Finite Graphs
Part 1 Foundations and Fundamental Topics
Chapter 1 Infinite Graphs – Key Concepts
Chapter 2 Infinite Graphs – Toolbox
Chapter 3 Markov Uniqueness and Essential Self-Adjointness
Chapter 4 Agmon–Allegretto–Piepenbrink and Persson Theorems
Chapter 5 Large Time Behavior of the Heat Kernel
Chapter 6 Recurrence
Chapter 7 Stochastic Completeness
Part 2 Classes of Graphs
Chapter 8 Uniformly Positive Measure
Chapter 9 Weak Spherical Symmetry
Chapter 10 Sparseness and Isoperimetric Inequalities
Part 3 Geometry and Intrinsic Metrics
Chapter 11 Intrinsic Metrics: Definition and Basic Facts
Chapter 12 Harmonic Functions and Caccioppoli Theory
Chapter 13 Spectral Bounds
Chapter 14 Volume Growth Criterion for Stochastic Completeness and Uniqueness Class
Appendix A The Spectral Theorem
Appendix B Closed Forms on Hilbert Spaces
Appendix C Dirichlet Forms and Beurling–Deny Criteria
Appendix D Semigroups, Resolvents and their Generators
Appendix E Aspects of Operator Theory
References
Index
Notation Index
Part 0 Prelude
Chapter 0 Finite Graphs
Part 1 Foundations and Fundamental Topics
44.
ＥＢ
by Sebastian M. Cioabă, M. Ram Murty
目次情報:
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Chapter 1. Basic Graph Theory
Chapter 2. Basic Counting
Chapter 3. The Principle of Inclusion and Exclusion
Chapter 4. Graphs and Matrices
Chapter 5. Trees
Chapter 6. M¨obius Inversion and Graph Colouring
Chapter 7. Enumeration under Group Action
Chapter 8. Matching Theory
Chapter 9. Block Designs
Chapter 10. Planar Graphs
Chapter 11. Edges and Cycles
Chapter 12. Expanders and Ramanujan Graphs
Chapter 13. Hints
Chapter 1. Basic Graph Theory
Chapter 2. Basic Counting
Chapter 3. The Principle of Inclusion and Exclusion
45.
ＥＢ
by Yusheng Li, Qizhong Lin
目次情報:
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Existence
Small Ramsey Numbers
Basic Probalistic Method
Random Graph
Lovász Local Lemma
Constructive Lower Bounds
Turán Number and Related Ramsey Number
Communication Channels
Dependent Random Choice
Quasi-Random Graphs
Regularity Lemma and van der Waerden Number
More Ramsey Linear Functions
Various Ramsey Problems
Existence
Small Ramsey Numbers
Basic Probalistic Method
46.
ＥＢ
by Carlos Hoppen, David P. Jacobs, Vilmar Trevisan
目次情報:
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Preface
Introduction
Preliminaries
Locating Eigenvalues in Trees
Graph Representations
Locating Eigenvalues in Threshold Graphs and Cographs
Locating Eigenvalues in Arbitrary Graphs
Locating Eigenvalues in Distance Hereditary Graphs
Some Other Algorithms
References
Preface
Introduction
Preliminaries
47.
ＥＢ
by Sheetal S. Sonawane, Parikshit N. Mahalle, Archana S. Ghotkar
目次情報:
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Part A
Chapter 1. Graph theory basics
Chapter 2. Graph Algorithms
Chapter 3. Networks using graph
Part B
Chapter 4. Information retrieval
Chapter 5. Text document preprocessing using graph theory
Chapter 6. Text analytics using graph theory
Chapter 7. Knowledge graph
Part C
Chapter 8. Emerging Applications and development
Chapter 9. Conclusion and future scope
Part A
Chapter 1. Graph theory basics
Chapter 2. Graph Algorithms
48.
ＥＢ
by Michael A. Henning, Jan H. van Vuuren
出版情報:
Cham : Springer International Publishing : Imprint: Springer, 2022
シリーズ名:
Springer Optimization and Its Applications ; 193
子書誌情報:
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オンライン:
https://doi.org/10.1007/978-3-031-03857-0
所蔵情報:
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目次情報:
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Preface
List of Algorithms
List of Bibliographical Notes
Part 1. Topics in network optimisation
1. An introduction to graphs
2. Graph connectedness
3. Algorithmic complexity
4. Optimal paths
5. Trees
6. Location problems
7. Maximum flow networks
8. Minimum-cost network flows
Part 2. Topics in classical graph theory
9. Matchings
10. Eulerian graphs
11. Hamiltonian graphs
12. Graph connectivity
13. Planarity
14. Graph colouring
15. Oriented graphs. Part 3. Topics in modern graph theory
16. Domination in graphs
17. Ramsey Theory
18. Extremal graph theory
19. Graph enumeration
20. The probabilistic method
Index
Preface
List of Algorithms
List of Bibliographical Notes
49.
ＥＢ
edited by Frederick Hoffman
出版情報:
Cham : Springer International Publishing : Imprint: Springer, 2022
シリーズ名:
Springer Proceedings in Mathematics & Statistics ; 388
子書誌情報:
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オンライン:
https://doi.org/10.1007/978-3-031-05375-7
所蔵情報:
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目次情報:
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Ratio Balancing Numbers(Bartz et al)
An Unexpected Digit Permutation from Multiplying in any Number Base(Qu et al)
A & Z Sequences for Double Riordan Arrays (Branch et al)
Constructing Clifford Algebras for Windmill and Dutch Windmill Graphs; A New Proof of The Friendship Theorem(Myers)
Finding Exact Values of a Character Sum (Peart et al)
On Minimum Index Stanton 4-cycle Designs (Bunge et al)
k-Plane Matroids and Whiteley’s Flattening Conjectures (Servatius et al)
Bounding the edge cover of a hypergraph (Shahrokhi)
A Generalization on Neighborhood Representatives (Holliday)
Harmonious Labelings of Disconnected Graphs involving Cycles and Multiple Components Consisting of Starlike Trees(Abueida et al)
On Rainbow Mean Colorings of Trees (Hallas et al)
Examples of Edge Critical Graphs in Peg Solitaire (Beeler et al)
Regular Tournaments with Minimum Split Domination Number and Cycle Extendability (Factor et al)
Independence and Domination of Chess Pieces on Triangular Boards and on the Surface of a Tetrahedron(Munger et al)
Efficient and Non-efficient Domination of Z-stacked Archimedean Lattices (Paskowitz et al)
On subdivision graphs which are 2-steps Hamiltonian graphs and hereditary non 2-steps Hamiltonian graphs (Lee et al)
On the Erd}os-S_os Conjecture for graphs with circumference at most k + 1 (Heissan et al)
Regular graph and some vertex-deleted subgraph (Egawa et al)
Connectivity and Extendability in Digraphs (Beasle)
On the extraconnectivity of arrangement graphs (Cheng et al)
k-Paths of k-Trees(Bickle)
Rearrangement of the Simple Random Walk(Skyers et al)
On the Energy of Transposition Graphs(DeDeo)
A Smaller Upper Bound for the (4; 82) Lattice Site Percolation Threshold(Wierman)
Ratio Balancing Numbers(Bartz et al)
An Unexpected Digit Permutation from Multiplying in any Number Base(Qu et al)
A & Z Sequences for Double Riordan Arrays (Branch et al)
50.
ＥＢ
by Alberto Arabia
目次情報:
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1 Introduction
2 The Wave Equation on Flat Manifolds
3 The Sunada–Bérard–Buser Method
4 The Gordon–Webb–Wolpert Isospectral Domains
A Linear Representations of Finite Groups and Almost-Conjugate Subgroups
B The Laplacian as Isometry-Invariant Differential Operator
C The Path-Distance on a Hausdorff Connected Flat Manifold
D Group Quotients of Flat Manifolds
References
Glossary
Index
1 Introduction
2 The Wave Equation on Flat Manifolds
3 The Sunada–Bérard–Buser Method
ＥＢ
