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Eigenvalues, multiplicities and graphs

Johnson, Charles R.

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Eigenvalues, multiplicities and graphs

Record Type:	Electronic resources : Monograph/item
Title/Author:	Eigenvalues, multiplicities and graphs/ Charles 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

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 ;211..

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: 9781316155158Subjects--Topical Terms:

631789
Eigenvalues.

LC Class. No.: QA193 / .J64 2018

Dewey Class. No.: 512.9434

Eigenvalues, multiplicities and graphs
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020 $a 9781316155158 $q (electronic bk.)
020 $a 9781107095458 $q (hardback)
035 $a CR9781316155158
040 $a UkCbUP $b eng $c UkCbUP $d GP
041 0 $a eng
050 4 $a QA193 $b .J64 2018
082 0 4 $a 512.9434 $2 23
090 $a QA193 $b .J66 2018
100 1 $a Johnson, Charles R. $3 742272
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 631789
650 0 $a Matrices. $3 516894
650 0 $a Symmetric matrices. $3 904743
650 0 $a Trees (Graph theory) $3 648365
700 1 $a Saiago, Carlos M. $3 3470462
830 0 $a Cambridge tracts in mathematics ; $v 211. $3 3470463
856 4 0 $u https://doi.org/10.1017/9781316155158