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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.,
面頁冊數:	1 online resource (xxii, 291 pages) :digital, PDF file(s). :
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 (ebook)

Eigenvalues, multiplicities and graphs /
Johnson, Charles R.,

Eigenvalues, multiplicities and graphs /Charles R. Johnson, Carlos M. Saiago. - 1 online resource (xxii, 291 pages) :digital, PDF file(s). - 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: 9781316155158 (ebook)Subjects--Topical Terms:

527866
Trees (Graph theory)

LC Class. No.: QA193 / .J64 2018

Dewey Class. No.: 512.9/434

Eigenvalues, multiplicities and graphs /
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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.
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