Volume Polynomials and Log-concavity of the Characteristic Polynomials of Matroids
Combinatorics
2025-08-13 v1
Abstract
The Rota--Heron--Welsh conjecture (now a theorem of Adiprasito, Huh, and the author) asserts the log-concavity of the characteristic polynomial of matroids. We give an exposition of the Lorentzian polynomial proof following the work of Branden and Leake aimed at undergraduate and beginning graduate students.
Keywords
Cite
@article{arxiv.2508.08391,
title = {Volume Polynomials and Log-concavity of the Characteristic Polynomials of Matroids},
author = {Eric Katz},
journal= {arXiv preprint arXiv:2508.08391},
year = {2025}
}
Comments
43 pages. Expository note. Comments welcome!