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arxiv: 0709.1269 · v1 · submitted 2007-09-09 · 🧮 math.CO

A criterion for the half-plane property

classification 🧮 math.CO
keywords half-planepropertychoeconditionconvenientcriterioneffortsestablish
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We establish a convenient necessary and sufficient condition for a multiaffine real polynomial to be stable, and use it to verify that the half-plane property holds for seven small matroids that resisted the efforts of Choe, Oxley, Sokal, and Wagner [5].

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