Combinatorics hidden in hyperbolic polynomials and related topics

Details Combinatorics hidden in hyperbolic polynomials and related topics Combinatorics hidden in hyperbolic polynomials and related topics

2004-02-05

arxiv.org/abs/math/0402088v1

Mathematics

Combinatorics

20 pages

Scientific paper

The main topic of this paper is various "hyperbolic" generalizations of the
Edmonds-Rado theorem on the rank of intersection of two matroids. We prove
several results in this direction and pose a few questions. We also give
generalizations of the Obreschkoff theorem and recent results of J. Borcea and
B. Shapiro.

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