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Enumerative combinatorics, graph theory, order theory, posets, matroids, designs and other discrete structures. It also includes algebraic, analytic and probabilistic combinatorics.

2 votes

Invariants of Matrix Reordering

Singular values are definitely an invariant (because permutation matrices are orthogonal) but not a complete invariant! If you modify only the rows and columns order you do not modify the list of entr …
V. Delecroix's user avatar