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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.

1 vote

Directed graph Laplacian with exactly one negative eigenvalue

By the Gershgorin circle theorem, all eigenvalue of the Laplacian matrix have non-negative real parts.
Igor Rivin's user avatar
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