Handbook of Combinatorics

Front Cover
Ronald L. Graham, Martin Grotschel, László Lovász
MIT Press, 2003 - Mathematics - 2401 pages
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 Grotschel, and Laszlo Lovasz, 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.
 

What people are saying - Write a review

We haven't found any reviews in the usual places.

Contents

Adam Mickiewicz University Poznań and Emory University
6
University of Washington Seattle WA Ch
18
Hamilton paths and circuits in graphs
20
Hamilton paths and circuits in digraphs
28
Lenstra J K Eindhoven University of Technology Eindhoven and Centre
35
Lloyd E K University of Southampton Southampton Ch
44
Fundamental classes of graphs and digraphs
54
Automorphism Groups Isomorphism Reconstruction 1447
64
Random Graphs
351
Finite Sets and Relations
381
Probabilistic Methods 1785
385
Partially Ordered Sets
433
Matroids
481
Matroid Minors
527
Matroid Optimization and Algorithms
551
Symmetric Structures
611

Special proof techniques for paths and circuits
69
Packings and coverings by paths and circuits
80
References
94
Combinatorial Optimization 1541
98
Connectivity and Network Flows
111
References
170
Computational Complexity 1599
173
Matchings and Extensions
179
Tools from Linear Algebra 1705
222
Combinatorial Games 2117
229
Colouring Stable Sets and Perfect Graphs
233
NowhereZero Flows
289
Embeddings and Minors
301
The History of Combinatorics 2163
308
Tools from Higher Algebra 1749
312
Finite Geometries
647
Block Designs
693
Association Schemes
747
Codes
773
Combinatorial Structures in Geometry and Number Theory
809
Convex Polytopes and Related Complexes
877
Topological Methods 1819
896
Point Lattices
919
Combinatorics in Computer Science 2003
961
Combinatorial Number Theory
967
Combinatorics in Pure Mathematics 2039
1018
Author Index
xiii
Subject Index
lix
Ramsey Theory 1331
xcii
Copyright

Other editions - View all

Common terms and phrases

Bibliographic information