Handbook of product graphs

Resource Information

The work Handbook of product graphs represents a distinct intellectual or artistic creation found in University of Missouri Libraries. This resource is a combination of several types including: Work, Language Material, Books.

Label

Handbook of product graphs

Statement of responsibility

Richard Hammack, Wilfried Imrich, Sandi Klavžar

Creator

• Hammack, Richard H

Contributor

• Imrich, Wilfried, 1941-
• Klavžar, Sandi, 1962-
• ProQuest (Firm)

Subject

• Electronic book
• Graph theory
• Graph theory

Genre

• Electronic book

Language

eng

Summary

Handbook of Product Graphs, Second Edition examines the dichotomy between the structure of products and their subgraphs. It also features the design of efficient algorithms that recognize products and their subgraphs and explores the relationship between graph parameters of the product and factors. Extensively revised and expanded, the handbook presents full proofs of many important results as well as up-to-date research and conjectures. Results and Algorithms New to the Second Edition: Cancellation results A quadratic recognition algorithm for partial cubes Results on the strong isometric dimension Computing the Wiener index via canonical isometric embedding Connectivity results A fractional version of Hedetniemi's conjecture Results on the independence number of Cartesian powers of vertex-transitive graphs Verification of Vizing's conjecture for chordal graphs Results on minimum cycle bases Numerous selected recent results, such as complete minors and nowhere-zero flows The second edition of this classic handbook provides a thorough introduction to the subject and an extensive survey of the field. The first three parts of the book cover graph products in detail. The authors discuss algebraic properties, such as factorization and cancellation, and explore interesting and important classes of subgraphs. The fourth part presents algorithms for the recognition of products and related classes of graphs. The final two parts focus on graph invariants and infinite, directed, and product-like graphs. Sample implementations of selected algorithms and other information are available on the book's website, which can be reached via the authors' home pages

Member of

• O'Reilly Safari Learning Platform: Academic edition
• Discrete mathematics and its applications

Cataloging source

CEF

Dewey number

511.52

Illustrations

illustrations

Index

no index present

LC call number

QA166

LC item number

.I477 2011

Literary form

non fiction

Nature of contents

• dictionaries
• bibliography

Series statement

Discrete mathematics and its applications