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Jul 13, 2025
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MATH 5570 - Matrix Theory and Combinatorics Credits: 3 An overview of matrix theory and its applications to combinatorics. Topics include Smith normal form, the Perron-Frobenius theory of non-negative matrices, location and perturbation of eigenvalues, and interlacing of eigenvalues. Applications include structure theorems for (0,1)-matrices, network flows, spectra of graphs, and the permanent.
Prerequisite: MATH 5500 .
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