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

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

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Description: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.Contents: An Introduction to Relevant Graph Theory and Matrix Theory Calculating the Number of Spanning Trees: The Algebraic Approach Multigraphs with the Maximum Number of Spanning Trees: An Analytic Approach Threshold Graphs Approaches to the Multigraph Problem Laplacian Integral Graphs and Multigraphs Readership: Graduate students and researchers in combinatorics and graph theory. Key Features: Unlike this book, very few books cover a significant amount of material about the Laplacian matrix, nor do they contain an extensive treatment of counting or optimizing the number of spanning trees Other works in the field do not devote to multigraphsWe have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Spanning Tree Results For Graphs And Multigraphs: A Matrix-theoretic Approach. To get started finding Spanning Tree Results For Graphs And Multigraphs: A Matrix-theoretic Approach, you are right to find our website which has a comprehensive collection of manuals listed.
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Pages: 186

Format: PDF, EPUB & Kindle Edition

Publisher: World Scientific

Release: —

ISBN: 9814566055

Description: 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.Contents: An Introduction to Relevant Graph Theory and Matrix Theory Calculating the Number of Spanning Trees: The Algebraic Approach Multigraphs with the Maximum Number of Spanning Trees: An Analytic Approach Threshold Graphs Approaches to the Multigraph Problem Laplacian Integral Graphs and Multigraphs Readership: Graduate students and researchers in combinatorics and graph theory. Key Features: Unlike this book, very few books cover a significant amount of material about the Laplacian matrix, nor do they contain an extensive treatment of counting or optimizing the number of spanning trees Other works in the field do not devote to multigraphsWe have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Spanning Tree Results For Graphs And Multigraphs: A Matrix-theoretic Approach. To get started finding Spanning Tree Results For Graphs And Multigraphs: A Matrix-theoretic Approach, you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.

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

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

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