Graphs and Matrices by Ravindra B. Bapat.

Whilst it is a moot point amongst researchers, linear algebra is an important component in the study of graphs. This book illustrates the elegance and power of matrix techniques in the study of graphs by means of several results, both classical and recent. The emphasis on matrix techniques is greate...

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Bibliographic Details
Main Author: Bapat, Ravindra B. (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: London : Springer London : Imprint: Springer, 2010.
Edition:1st ed. 2010.
Series:Universitext,
Springer eBook Collection.
Subjects:
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
Table of Contents:
  • Preliminaries
  • Incidence Matrix
  • Adjacency Matrix
  • Laplacian Matrix
  • Cycles and Cuts
  • Regular Graphs
  • Algebraic Connectivity
  • Distance Matrix of a Tree
  • Resistance Distance
  • Laplacian Eigenvalues of Threshold Graphs
  • Positive Definite Completion Problem
  • Matrix Games Based on Graphs
  • Hints and Solutions to Selected Exercises.