Multiple breaks of log-concavity in the independence polynomials of trees
Combinatorics
2025-11-04 v1
Abstract
We construct infinite families of trees whose independence polynomials violate log-concavity at an arbitrary number of indices. This affirmatively answers a question of D. Galvin.
Keywords
Cite
@article{arxiv.2511.00334,
title = {Multiple breaks of log-concavity in the independence polynomials of trees},
author = {César Bautista-Ramos},
journal= {arXiv preprint arXiv:2511.00334},
year = {2025}
}
Comments
6 pages, 1 figure