English

A criterion for the half-plane property

Combinatorics 2007-09-11 v1

Abstract

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].

Keywords

Cite

@article{arxiv.0709.1269,
  title  = {A criterion for the half-plane property},
  author = {David G. Wagner and Yehua Wei},
  journal= {arXiv preprint arXiv:0709.1269},
  year   = {2007}
}
R2 v1 2026-06-21T09:15:25.038Z