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Eigenvalues, multiplicities and graphs

Saiago, Carlos M.

Eigenvalues, multiplicities and graphs

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Eigenvalues, multiplicities and graphs/ Charles R. Johnson, Carlos M. Saiago.
作者:	Johnson, Charles R.
其他作者:	Saiago, Carlos M.
出版者:	Cambridge :Cambridge University Press, : 2018.,
面頁冊數:	xxii, 291 p. :ill., digital ; : 24 cm.;
附註:	Title from publisher's bibliographic system (viewed on 12 Feb 2018).
標題:	Trees (Graph theory) -
電子資源:	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 ;203..

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:

527866
Trees (Graph theory)

LC Class. No.: QA193 / .J64 2018

Dewey Class. No.: 512.9434

Eigenvalues, multiplicities and graphs
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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 Trees (Graph theory) $3 527866
650 0 $a Symmetric matrices. $3 528176
650 0 $a Matrices. $3 528174
650 0 $a Eigenvalues. $3 527710
700 1 $a Saiago, Carlos M. $3 1340131
830 0 $a Cambridge tracts in mathematics ; $v 203. $3 1238301
856 4 0 $u https://doi.org/10.1017/9781316155158

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