English

Rank three matroids are Rayleigh

Combinatorics 2007-05-23 v1

Abstract

A Rayleigh matroid is one which satisfies a set of inequalities analogous to the Rayleigh monotonicity property of linear resistive electrical networks. We show that every matroid of rank three satisfies these inequalities.

Keywords

Cite

@article{arxiv.math/0403216,
  title  = {Rank three matroids are Rayleigh},
  author = {David G. Wagner},
  journal= {arXiv preprint arXiv:math/0403216},
  year   = {2007}
}

Comments

11 pages, 3 figures, 3 tables