HANDBOOK OF COMBINATORICS VOLUME 1: v. 1 - Hardcover

Luisa, Bozzano G

Hardcover

ISBN 10: 0444823468 ISBN 13: 9780444823465

Publisher: North Holland, 1995

Synopsis

Handbook of Combinatorics, Volume 1 focuses on basic methods, paradigms, results, issues, and trends across the broad spectrum of combinatorics. The selection first elaborates on the basic graph theory, connectivity and network flows, and matchings and extensions. Discussions focus on stable sets and claw free graphs, nonbipartite matching, multicommodity flows and disjoint paths, minimum cost circulations and flows, special proof techniques for paths and circuits, and Hamilton paths and circuits in digraphs. The manuscript then examines coloring, stable sets, and perfect graphs and embeddings and minors. The book takes a look at random graphs, hypergraphs, partially ordered sets, and matroids. Topics include geometric lattices, structural properties, linear extensions and correlation, dimension and posets of bounded degree, hypergraphs and set systems, stability, transversals, and matchings, and phase transition. The manuscript also reviews the combinatorial number theory, point lattices, convex polytopes and related complexes, and extremal problems in combinatorial geometry. The selection is a valuable reference for researchers interested in combinatorics.

About this title

Synopsis

Covering important results and current trends and issues across the spectrum of combinatorics, this volume covers finite sets and relations, matroids, symmetric structures, and combinatorial structures in geometry and number theory.

Edition details

• Publisher: North Holland
• Publication date: 1995
• Language: English
• ISBN 10: 0444823468
• ISBN 13: 9780444823465
• Binding: Hardcover
• Number of pages: 1120