Handbook of Combinatorics

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Combinatorics research, the branch of mathematics that deals with the study of discrete, usually finite, structures, covers a wide range of problems not only in mathematics but also in the biological sciences, engineering, and computer science. The Handbook of Combinatorics brings together almost every aspect of this enormous field and is destined to become a classic. Ronald L. Graham, Martin Grötschel, and László Lovász, three of the world's leading combinatorialists, have compiled a selection of articles that ...

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Overview

Combinatorics research, the branch of mathematics that deals with the study of discrete, usually finite, structures, covers a wide range of problems not only in mathematics but also in the biological sciences, engineering, and computer science. The Handbook of Combinatorics brings together almost every aspect of this enormous field and is destined to become a classic. Ronald L. Graham, Martin Grötschel, and László Lovász, three of the world's leading combinatorialists, have compiled a selection of articles that cover combinatorics in graph theory, theoretical computer science, optimization, and convexity theory, plus applications in operations research, electrical engineering, statistical mechanics, chemistry, molecular biology, pure mathematics, and computer science.

The 20 articles in Volume 1 deal with structures while the 24 articles in Volume 2 focus on aspects, tools, applications, and horizons.

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Product Details

  • ISBN-13: 9780444880024
  • Publisher: Elsevier Science
  • Publication date: 12/11/1995
  • Pages: 2404

Meet the Author

Ronald L. Graham is Irwin and Joan Jacobs Professor in the Department of Computer Science and Engineering and Chief Scientist of the California Institute for Telecommunications and Information Technology, University of California, San Diego.

László Lovász is Senior Researcher in the Theory Group at Microsoft Research.

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Table of Contents

Volume 1
Preface
List of Contributors
Part I: Structures
Graphs
1. Basic Graph Theory: Paths and Circuits
J. A. Bondy
2. Connectivity and Network Flows
A. Frank
3. Matchings and EXtensions
W. R. Pulleyblank
4. Colouring, Stable Sets and Perfect Graphs
B. Toft
AppendiX to Chapter 4: NowhereZero Flows
P. D. Seymour
5. Embeddings and Minors
C. Thomassen
6. Random Graphs
M. Karonski
Finite Sets and Relations
7. Hypergraphs
P. Duchet
8. Partially Ordered Sets
W. T. Trotter
Matroids
9. Matroids: Fundamental Concepts
D. J. A. Welsh
10. Matroid Minors
P. D. Seymour
11. Matroid Optimization and Algorithms
R. E. BiXby and W. H. Cunningham
Symmetric Structures
12. Permutation Groups
P. J. Cameron
13. Finite Geometries
P. J. Cameron
14. Block Designs
A. E. Brouwer
15. Association Schemes
A. E. Brouwer and W. H. Haemers
16. Codes
J. H. van Lint
Combinatorial Structures in Geometry and Number Theory
17. EXtremal Problems in Combinatorial Geometry
P. Erdös and G. Purdy
18. ConveX Polytopes and Related CompleXes
V. Klee and P. Kleinschmidt
19. Point Lattices
J. C. Lagarias
20. Combinatorial Number Theory
C. Pomerance and A. Sárközy
Author IndeX
Subject IndeX
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