Total Domination in Graphs
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 field. This work is an excellent resource for students interested in beginning their research in this field. Additionally, established researchers will find the book valuable to have as it contains the latest developments and open problems.
Provides a comprehensive treatment on total domination in graphs Includes a chapter on open questions and conjectures is presented for researchers in the field Features topics that include the interaction between total domination in graphs and transversals in hypergraphs, the association with total domination in graphs and diameter-2-critical graphs Investigates upper bounds on the total domination number of a planar graph of small diameter