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Graphs with Eigenvalues of High Multiplicity
Language: en
Pages: 141
Authors: Casey Boyett
Categories: Electronic dissertations
Type: BOOK - Published: 2015 - Publisher:

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Given a graph G we can form a matrix A[subscript G] indexed by the vertices of G and which encodes the edges of G. A[subscript G] is called the adjacency matrix
Eigenvalues, Multiplicities and Graphs
Language: en
Pages: 315
Authors: Charles R. Johnson
Categories: Mathematics
Type: BOOK - Published: 2018-02-12 - Publisher: Cambridge University Press

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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
Eigenvalues, Multiplicities and Graphs
Language: en
Pages: 315
Authors: Charles R. Johnson
Categories: Mathematics
Type: BOOK - Published: 2018-02-12 - Publisher: Cambridge University Press

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This book investigates the influence of the graph of a symmetric matrix on the multiplicities of its eigenvalues.
Graph Spectra for Complex Networks
Language: en
Pages: 363
Authors: Piet van Mieghem
Categories: Technology & Engineering
Type: BOOK - Published: 2010-12-02 - Publisher: Cambridge University Press

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Analyzing the behavior of complex networks is an important element in the design of new man-made structures such as communication systems and biologically engin
Spectra of Graphs
Language: en
Pages: 374
Authors: Dragoš M. Cvetković
Categories: Mathematics
Type: BOOK - Published: 1980 - Publisher:

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The theory of graph spectra can, in a way, be considered as an attempt to utilize linear algebra including, in particular, the well-developed theory of matrices