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arXiv · 2105.01825

Inconsequential results on the Merino-Welsh conjecture for Tutte polynomials

Joseph P. S. Kung
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Abstract

The Merino-Welsh conjectures say that subject to conditions, there is an inequality among the Tutte-polynomial evaluations $T(M;2,0)$, $T(M;0,2)$, and $T(M;1,1)$. 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.

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BibTeXRIS

Joseph P. S. Kung. 2021-05-20. Inconsequential results on the Merino-Welsh conjecture for Tutte polynomials. https://doi.org/10.1016/j.aam.2025.102866

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