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:
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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:
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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:
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Preface
Introduction
Graphs
Groups, Actions, and Symmetry
Maps
Combinatorial Configurations
Geometric Configurations
Index
Bibliography
Preface
Introduction
Graphs
8.
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by Mark Longueville
目次情報:
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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:
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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:
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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.
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edited by Jaroslav Nešetřil, Marco Pellegrini
14.
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by Leonidas S. Pitsoulis
目次情報:
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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:
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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.
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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.
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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:
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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.
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edited by Jacek Banasiak, Mustapha Mokhtar-Kharroubi
目次情報:
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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
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