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Books > Science & Mathematics > Mathematics > Mathematical foundations
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Eigenvalues, Multiplicities and Graphs (Hardcover)
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Eigenvalues, Multiplicities and Graphs (Hardcover)
Series: Cambridge Tracts in Mathematics
Expected to ship within 12 - 19 working days
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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
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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