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

John T Saccoman author Daniel J Gross author Charles L Suffel author

Format:Hardback

Publisher:World Scientific Publishing Co Pte Ltd

Published:23rd Oct '14

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Spanning Tree Results For Graphs And Multigraphs: A Matrix-theoretic Approach cover

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.

ISBN: 9789814566032

Dimensions: unknown

Weight: unknown

188 pages