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Eigenvalues, Multiplicities and Graphs

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Eigenvalues, Multiplicities and Graphs - Johnson, Charles R., and Saiago, Carlos M.
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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 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 ...

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Eigenvalues, Multiplicities and Graphs 2018, Cambridge University Press, Cambridge

ISBN-13: 9781107095458

Hardcover