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Abstract: A polynomial P in n complex variables is said to have the "half-plane property " (or Hurwitz property) if it is nonvanishing whenever all the variables lie in the open right half-plane. Such polynomials arise in combinatorics, reliability theory, electrical circuit theory and statistical mechanics. A particularly important case is when the polynomial is homogeneous and multiaffine: then it is the (weighted) generating polynomial of an r-uniform set system. We prove that the support (set... (Update)
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BibTeX entry: (Update)
@misc{ choe-homogeneous,
author = "Young-Bin Choe and et al.",
title = "Homogeneous with the Multivariate Polynomials Half-Plane Property",
url = "citeseer.ist.psu.edu/choe02homogeneous.html" }
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