Spanning Tree Results For Graphs And Multigraphs: A Matrix-Theoretic Approach - Hardcover

Gross, Daniel J

 
9789814566032: Spanning Tree Results For Graphs And Multigraphs: A Matrix-Theoretic Approach
Hardcover
ISBN 10: 9814566039 ISBN 13: 9789814566032
Verlag: Wspc, 2014

Inhaltsangabe

This book is concerned with the optimization problem of maximizing the number of spanning trees of a multigraph. Since a spanning tree is a minimally connected subgraph, graphs and multigraphs having more of these are, in some sense, immune to disconnection by edge failure. We employ a matrix-theoretic approach to the calculation of the number of spanning trees. The authors envision this as a research aid that is of particular interest to graduate students or advanced undergraduate students and researchers in the area of network reliability theory. This would encompass graph theorists of all stripes, including mathematicians, computer scientists, electrical and computer engineers, and operations researchers.

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In this work, we consider the optimization problem of maximizing the number of spanning trees among graphs and multigraphs in the same class, i.e. having a fixed number of nodes and a fixed number of edges. Since a spanning tree is a minimally connected subgraph, graphs and multigraphs having more of these are, in some sense, immune to disconnection by edge failure.

The authors envision this as a research aid that is of particular interest to graduate students or advanced undergraduate students and researchers in the area of network reliability theory. This would encompass graph theorists of all stripes, including mathematicians, computer scientists, electrical and computer engineers, and operations researchers.

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Verlag
Wspc
Erscheinungsdatum
2014
Sprache
Englisch
ISBN 10 
9814566039
ISBN 13 
9789814566032
Einband
Gebundene Ausgabe
Anzahl der Seiten
186
Kontakt zum Hersteller
World Scientific Publishing
https://www.worldscientific.com/

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