Domination in Graphs : Volume 2: Advanced Topics book cover
1st Edition

Domination in Graphs
Volume 2: Advanced Topics

ISBN 9780824700348
Published January 5, 1998 by CRC Press
520 Pages

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Book Description

"Presents the latest in graph domination by leading researchers from around the world-furnishing known results, open research problems, and proof techniques. Maintains standardized terminology and notation throughout for greater accessibility. Covers recent developments in domination in graphs and digraphs, dominating functions, combinatorial problems on chessboards, and more."

Table of Contents

LP-duality, complementarity and generality of graphical subset parameters; dominating functions in graphs; fractional domination and related parameters; majority domination and its generalizations; convexity of external domination-related functions of graphs; combinatorial problems on chessboards - II; domination in cartesian products - Vizing's conjecture; algorithms; complexity results; domination parameters of a graph; global domination; distance domination in graphs; domatic numbers of graphs and their variants - a survey; domination-related parameters; topics on domination in directed graphs; graphs critical with respect to the domination number; bondage, insensitivity and reinforcement.

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". . .well written and informative. Each chapter contains a wealth of information. "
---Mathematical Reviews