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portada Eigenvalues, Multiplicities and Graphs (Cambridge Tracts in Mathematics)
Type
Physical Book
Publisher
Author
Year
2018
Language
English
Pages
310
Format
Hardcover
ISBN13
9781107095458
Edition No.
1
Categories

Eigenvalues, Multiplicities and Graphs (Cambridge Tracts in Mathematics)

Charles R. Johnson; Carlos M. Saiago (Author) · Cambridge University Press · Hardcover

Eigenvalues, Multiplicities and Graphs (Cambridge Tracts in Mathematics) - Charles R. Johnson; Carlos M. Saiago

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Synopsis "Eigenvalues, Multiplicities and Graphs (Cambridge Tracts in Mathematics) "

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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