Inconsequential results on the Merino-Welsh conjecture for Tutte polynomials
Combinatorics
2025-02-21 v2
Abstract
The Merino-Welsh conjectures say that subject to conditions, there is an inequality among the Tutte-polynomial evaluations , , and . We present three results on a Merino-Welsh conjecture. These results are "inconsequential" in the sense that although they imply a version of the conjecture for many matroids, they seem to be dead ends.
Cite
@article{arxiv.2105.01825,
title = {Inconsequential results on the Merino-Welsh conjecture for Tutte polynomials},
author = {Joseph P. S. Kung},
journal= {arXiv preprint arXiv:2105.01825},
year = {2025}
}