Graphs and matrices [electronic resource] / R.B. Bapat.

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 greater than other standard references on algebraic graph theory, and the important matrices associated with graphs su...

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Bibliographic Details
Uniform Title:Universitext.
Main Author: Bapat, R. B.
Language:English
Published: London ; New York : New Delhi : Springer ; Hindustan Book Agency, [2010?].
Series:Universitext.
Subjects:
Graph theory.
Matrices.
Online Access:
Springer English/International eBooks 2010 - Full Set: 2010 (Springer Link)
Format: Electronic eBook
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.