Fundamentals of Domination in Graphs

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Teresa W. Haynes (East Tennessee State University, Johnson City, Tennessee, US) Stephen Hedetniemi (Clemson University)

Fundamentals of Domination in Graphs

Teresa W. Haynes (East Tennessee State University, Johnson City, Tennessee, US), Stephen Hedetniemi (Clemson University), Peter Slater , Earl Taft

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English

CRC Press Inc
05 January 1998

Combinatorics & graph theory; Applied mathematics

Series: Chapman & Hall/CRC Pure and Applied Mathematics

Provides the first comprehensive treatment of theoretical, algorithmic, and application aspects of domination in graphs-discussing fundamental results and major research accomplishments in an easy-to-understand style. Includes

chapters on domination algorithms and NP-completeness as well as frameworks for domination.

By: Teresa W. Haynes (East Tennessee State University Johnson City Tennessee US), Stephen Hedetniemi (Clemson University), Peter Slater, Peter Slater
Series edited by: Earl Taft
Imprint: CRC Press Inc
Country of Publication: United States
Volume: v. 208
Dimensions: Height: 229mm, Width: 152mm, Spine: 26mm
Weight: 1.020kg
ISBN: 9780824700331
ISBN 10: 0824700333
Series: Chapman & Hall/CRC Pure and Applied Mathematics
Pages: 464
Publication Date: 05 January 1998
Audience: College/higher education , Professional and scholarly , Professional & Vocational , A / AS level , Further / Higher Education
Format: Hardback
Publisher's Status: Active

Bounds on the domination number; domination, independence and irredundance; efficiency, redundancy and the duals; changing and unchanging domination; conditions on the dominating set; varieties of domination; multiproperty and multiset parameters; sums and products of parameters; dominating functions; frameworks for domination; domination complexity and algorithms.

Teresa W. Haynes, Stephen Hedetniemi, Peter Slater

Reviews for Fundamentals of Domination in Graphs

The book is very clearly written and the organization is outstanding. . ..Any reader will be able to quickly identify the methods used in the field and to appreciate the beauty and intricacy of the subject. One major achievement of the book is unification of the terminology used in domination. ---Bulletin of the Institute of Combinatorics and Its Applications This long-awaited book provides the first comprehensive treatment of domination in graphs. It is an essential work in which a vast amount of recent work on domination has been extracted from the literature and re-organized into one comprehensive volume.... ...as a first book on domination it certainly fills a long-existing void very successfully, and it is hard to imagine now how researchers in domination theory every coped without it. ---Mathematical Reviews, 2001