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Eigenvalues, multiplicities and graphs

Johnson, Charles R.

Eigenvalues, multiplicities and graphs

Record Type:	Electronic resources : Monograph/item
Title/Author:	Eigenvalues, multiplicities and graphsCharles R. Johnson, Carlos M. Saiago.
Author:	Johnson, Charles R.
other author:	Saiago, Carlos M.
Published:	Cambridge :Cambridge University Press,2018.
Description:	xxii, 291 p. :ill., digital ;24 cm.
Notes:	Title from publisher's bibliographic system (viewed on 12 Feb 2018).
Subject:	Eigenvalues.
Online resource:	https://doi.org/10.1017/9781316155158
ISBN:	9781316155158$q(electronic bk.)

Eigenvalues, multiplicities and graphs
Johnson, Charles R.

Eigenvalues, multiplicities and graphs[electronic resource] /Charles R. Johnson, Carlos M. Saiago. - Cambridge :Cambridge University Press,2018. - xxii, 291 p. :ill., digital ;24 cm. - Cambridge tracts in mathematics ;211. - Cambridge tracts in mathematics ;96..

Title from publisher's bibliographic system (viewed on 12 Feb 2018).

The arrangement of nonzero entries of a matrix, described by the graph of the matrix, limits the possible geometric multiplicities of the eigenvalues, which are far more limited by this information than algebraic multiplicities or the numerical values of the eigenvalues. This book gives a unified development of how the graph of a symmetric matrix influences the possible multiplicities of its eigenvalues. While the theory is richest in cases where the graph is a tree, work on eigenvalues, multiplicities and graphs has provided the opportunity to identify which ideas have analogs for non-trees, and those for which trees are essential. It gathers and organizes the fundamental ideas to allow students and researchers to easily access and investigate the many interesting questions in the subject.

ISBN: 9781316155158$q(electronic bk.)Subjects--Topical Terms:

185326
Eigenvalues.

LC Class. No.: QA193 / .J64 2018

Dewey Class. No.: 512.9434

Eigenvalues, multiplicities and graphs
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020 $a 9781107095458$q(paper)
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100 1 $a Johnson, Charles R. $3 240054
245 1 0 $a Eigenvalues, multiplicities and graphs $h [electronic resource] / $c Charles R. Johnson, Carlos M. Saiago.
260 $a Cambridge : $b Cambridge University Press, $c 2018.
300 $a xxii, 291 p. : $b ill., digital ; $c 24 cm.
490 1 $a Cambridge tracts in mathematics ; $v 211
500 $a Title from publisher's bibliographic system (viewed on 12 Feb 2018).
520 $a The arrangement of nonzero entries of a matrix, described by the graph of the matrix, limits the possible geometric multiplicities of the eigenvalues, which are far more limited by this information than algebraic multiplicities or the numerical values of the eigenvalues. This book gives a unified development of how the graph of a symmetric matrix influences the possible multiplicities of its eigenvalues. While the theory is richest in cases where the graph is a tree, work on eigenvalues, multiplicities and graphs has provided the opportunity to identify which ideas have analogs for non-trees, and those for which trees are essential. It gathers and organizes the fundamental ideas to allow students and researchers to easily access and investigate the many interesting questions in the subject.
650 0 $a Eigenvalues. $3 185326
650 0 $a Matrices. $3 181876
650 0 $a Symmetric matrices. $3 229307
650 0 $a Trees (Graph theory) $3 185778
700 1 $a Saiago, Carlos M. $3 898711
830 0 $a Cambridge tracts in mathematics ; $v 96. $3 829132
856 4 0 $u https://doi.org/10.1017/9781316155158