English

A combinatorial proof of Rayleigh monotonicity for graphs

Combinatorics 2017-07-31 v2

Abstract

We give an elementary, self-contained, and purely combinatorial proof of the Rayleigh monotonicity property of graphs.

Keywords

Cite

@article{arxiv.0804.0027,
  title  = {A combinatorial proof of Rayleigh monotonicity for graphs},
  author = {J. Cibulka and J. Hladky and M. A. LaCroix and D. G. Wagner},
  journal= {arXiv preprint arXiv:0804.0027},
  year   = {2017}
}

Comments

15 pages, 7 figures. Revised the case analysis at the end of the proof

R2 v1 2026-06-21T10:26:18.607Z