Nicht aus der Schweiz? Besuchen Sie lehmanns.de

Structures of Domination in Graphs (eBook)

eBook Download: PDF
2021 | 1st ed. 2021
VIII, 536 Seiten
Springer International Publishing (Verlag)
978-3-030-58892-2 (ISBN)

Lese- und Medienproben

Structures of Domination in Graphs -
Systemvoraussetzungen
106,99 inkl. MwSt
(CHF 104,50)
Der eBook-Verkauf erfolgt durch die Lehmanns Media GmbH (Berlin) zum Preis in Euro inkl. MwSt.
  • Download sofort lieferbar
  • Zahlungsarten anzeigen

This volume comprises 17 contributions that present advanced topics in graph domination, featuring open problems, modern techniques, and recent results.   The book is divided into 3 parts. The first part focuses on several domination-related concepts: broadcast domination, alliances, domatic numbers, dominator colorings, irredundance in graphs, private neighbor concepts, game domination, varieties of Roman domination and spectral graph theory. The second part covers domination in hypergraphs, chessboards, and digraphs and tournaments. The third part focuses on the development of algorithms and complexity of  signed, minus and majority domination, power domination, and alliances in graphs. The third part also includes a chapter on self-stabilizing algorithms. Of extra benefit to the reader, the first chapter includes a glossary of commonly used terms.

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 and proof techniques used in the field. 




Teresa W. Haynes has focused her research on domination in graphs for over 30 years and is perhaps best known for coauthoring  the 1998 book Fundamentals of Domination in Graphs and the companion volume Domination in Graphs: Advanced Topics. She has also co-edited 2 volumes in Springer's Problem Books in Mathematics  Graph Theory: Favorite Conjectures and Open Problems.  Haynes is also a co-author  of  the Springer Briefs in Mathematics  From Domination to Coloring: The Graph Theory of Stephen T. Hedetniemi.  Upon receiving her PhD from the University of Central Florida in 1988, she joined East Tennessee State University, where she is currently professor in the Department of Mathematics and Statistics.  Haynes has coauthored more than 200 papers on domination and domination-related concepts, which introduced some of the most studied concepts in domination, such as power domination, paired domination, double domination, alliances and broadcasts in graphs, and stratified domination. 

Stephen T. Hedetniemi is one of the earliest pioneers of domination in graphs along with E. J. Cockayne, who together proposed the theory of domination in graphs, in one of the most cited papers in the field in 1977.  He received his PhD from the University of Michigan in 1966, with two world-class advisors, graph theorist Frank Harary, and the pioneer of genetic algorithms and MacArthur Fellowship winner, John Holland.  He coauthored, the first book on domination in 1988 Fundamentals of Domination in Graphs, and co-edited a second book, Domination in Graphs: Advanced Topics. He also co-edited  2 volumes in Springer's Problem Books in Mathematics  Graph Theory: Favorite Conjectures and Open Problems. Since 1974 he has coauthored more than 300 papers, 180 of which are on domination and domination-related concepts.  Hedetniemi has introduced some of the most-studied concepts in domination theory, including total domination, independent domination, irredundance, Roman domination, power domination, alliances in graphs, signed and minus domination, fractional domination, domatic numbers, domination in grid graphs and chessboards, the first domination algorithms, the first domination NP-completeness results, and the first self-stabilizing domination algorithms.  After leaving the University of Michigan, he taught computer science at the University of Iowa, and the University of Virginia, spent a visiting year at the University of Victoria with E. J. Cockayne, and then became department head of Computer and information Science at the University of Oregon.  Since 1982 has been at Clemson University, where he served a five-year term as department head, and served on the Executive Committee of the Computing Accreditation Commission of ABET, Inc. He is currently Emeritus Professor of Computer Science in the School of Computing at Clemson University.

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 4.5.2021
Reihe/Serie Developments in Mathematics
Developments in Mathematics
Zusatzinfo VIII, 536 p. 169 illus., 61 illus. in color.
Sprache englisch
Themenwelt Mathematik / Informatik Mathematik
Schlagworte Alliances in Graphs • digraphs • Domination Frameworks • Domination in Chessboards • Graph Partitions • Grundy colorings • Hypergraphs • Irredundance • self-stabilizing algorithms • Stratified Domination • Strong and Weak Domination
ISBN-10 3-030-58892-0 / 3030588920
ISBN-13 978-3-030-58892-2 / 9783030588922
Haben Sie eine Frage zum Produkt?
PDFPDF (Wasserzeichen)
Größe: 16,3 MB

DRM: Digitales Wasserzeichen
Dieses eBook enthält ein digitales Wasser­zeichen und ist damit für Sie persona­lisiert. Bei einer missbräuch­lichen Weiter­gabe des eBooks an Dritte ist eine Rück­ver­folgung an die Quelle möglich.

Dateiformat: PDF (Portable Document Format)
Mit einem festen Seiten­layout eignet sich die PDF besonders für Fach­bücher mit Spalten, Tabellen und Abbild­ungen. Eine PDF kann auf fast allen Geräten ange­zeigt werden, ist aber für kleine Displays (Smart­phone, eReader) nur einge­schränkt geeignet.

Systemvoraussetzungen:
PC/Mac: Mit einem PC oder Mac können Sie dieses eBook lesen. Sie benötigen dafür einen PDF-Viewer - z.B. den Adobe Reader oder Adobe Digital Editions.
eReader: Dieses eBook kann mit (fast) allen eBook-Readern gelesen werden. Mit dem amazon-Kindle ist es aber nicht kompatibel.
Smartphone/Tablet: Egal ob Apple oder Android, dieses eBook können Sie lesen. Sie benötigen dafür einen PDF-Viewer - z.B. die kostenlose Adobe Digital Editions-App.

Buying eBooks from abroad
For tax law reasons we can sell eBooks just within Germany and Switzerland. Regrettably we cannot fulfill eBook-orders from other countries.

Mehr entdecken
aus dem Bereich
Ein Übungsbuch für Fachhochschulen

von Michael Knorrenschild

eBook Download (2023)
Carl Hanser Verlag GmbH & Co. KG
CHF 16,60