Eigenspaces of graphs

Resource Information

The work Eigenspaces of graphs represents a distinct intellectual or artistic creation found in University of Missouri Libraries. This resource is a combination of several types including: Work, Language Material, Books.

Label

Eigenspaces of graphs

Statement of responsibility

D. Cvetković, P. Rowlinson, S. Simić

Creator

• Cvetković, Dragoš M

Contributor

• Rowlinson, Peter
• Simić, S., (Slobodan)

Subject

• Graph theory
• Spectral theory (Mathematics)

Language

eng

Summary

This book describes how the spectral theory of finite graphs can be strengthened by exploiting properties of the eigenspaces of adjacency matrices associated with a graph. The extension of spectral techniques proceeds at three levels: using eigenvectors associated with an arbitrary labelling of graph vertices, using geometrical invariants of eigenspaces such as graph angles and main angles, and introducing certain kinds of canonical eigenvectors by means of star partitions and star bases. Current research on these topics may be seen as part of a wider effort to forge closer links between algebra and combinatorics (in particular between linear algebra and graph theory)

Member of

• Encyclopedia of mathematics and its applications, v. 66

Cataloging source

DLC

Dewey number

511/.5

Illustrations

illustrations

Index

index present

LC call number

QA166

LC item number

.C83 1997

Literary form

non fiction

Nature of contents

bibliography

Series statement

Encyclopedia of mathematics and its applications

Series volume

v. 66