"Total Domination in Graphs" gives a clear understanding of this topic to any interested reader who has a modest background in graph theory. This book provides and explores the fundamentals of total domination in graphs. Some of the topics featured include the interplay between total domination in graphs and transversals in hypergraphs, and the association with total domination in graphs and diameter-2-critical graphs. Several proofs are included in this text which enables readers to acquaint themselves with a toolbox of proof techniques and ideas with which to attack open problems in the...
"Total Domination in Graphs" gives a clear understanding of this topic to any interested reader who has a modest background in graph theory. This b...
Teresa W. Haynes Stephen T. Hedetniemi Michael A. Henning
This monograph is designed to be an in-depth introduction to domination in graphs. It focuses on three core concepts: domination, total domination, and independent domination. It contains major results on these foundational domination numbers, including a wide variety of in-depth proofs of selected results providing the reader with a toolbox of proof techniques used in domination theory. Additionally, the book is intended as an invaluable reference resource for a variety of readerships, namely, established researchers in the field of domination who want an updated, comprehensive coverage of...
This monograph is designed to be an in-depth introduction to domination in graphs. It focuses on three core concepts: domination, total domination, an...