Topics in Domination in Graphs (eBook)
VIII, 545 Seiten
Springer International Publishing (Verlag)
978-3-030-51117-3 (ISBN)
This volume comprises 16 contributions that present advanced topics in graph domination, featuring open problems, modern techniques, and recent results. The focus is on primary dominating sets such as paired domination, connected domination, restrained domination, dominating functions, Roman domination, and power domination. Additionally, surveys include known results with a sample of proof techniques for each parameter. Of extra benefit to the reader, the first chapter includes a glossary of commonly used terms; the second chapter provides an overview of models of domination from which the parameters are defined.
The book is intended to provide a reference for established researchers in the fields of domination and graph theory and graduate students who wish to gain knowledge of the topics covered as well as an overview of the major accomplishments in the field and proof techniques used.
Michael A. Henning has devoted much of his research interests to the field of domination theory in graphs. He has been both plenary and invited speakers at several international conferences and is a prolific researcher having published over 460 papers to date in international mathematics journals. Henning was born and schooled in South Africa having obtained his PhD at the University of Natal in April 1989. In January 1989, he started his academic career as a lecturer at the University of Zululand, before accepting a lectureship in mathematics at the former University of Natal in January 1991. In January 2000, he was appointed a full professor at the University of Natal, which later merged with the University of Durban-Westville to form the University of KwaZulu-Natal in January 2004. After spending almost 20 years at the University of KwaZulu-Natal and one of its predecessors, the University of Natal, Michael moved to the University of Johannesburg in May 2010 as a research professor. He co-authored a Springer Briefs in Mathematics From Domination to Coloring: The Graph Theory of Stephen T. Hedetniemi and co-authored the Springer Monographs in Mathematics book Total Domination in Graphs and in 2020, he co-authored Springer's Developments in Mathematics book Transversals in Linear Uniform Hypergraphs.
Erscheint lt. Verlag | 19.10.2020 |
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Reihe/Serie | Developments in Mathematics | Developments in Mathematics |
Zusatzinfo | VIII, 545 p. 50 illus., 49 illus. in color. |
Sprache | englisch |
Themenwelt | Mathematik / Informatik ► Mathematik |
Schlagworte | Alliances in Graphs • Broadcast Domination • Connected Domination • Distance Domination • Dominating functions • Domination Chain • Exponential Domination • global domination • Independent Domination • Irredundance in graphs • Multiple domination • paired domination • Power Domination • Rainbow Domination • Restrained Domination • Roman Domination • Secure Domination • Strong and Weak Domination • Total Domination • Vizing's Conjecture for Domination Parameters |
ISBN-10 | 3-030-51117-0 / 3030511170 |
ISBN-13 | 978-3-030-51117-3 / 9783030511173 |
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