Bao-Xuan Zhu

most citedOn the unimodality of independence polynomials of some graphs

51 citations · 51 across the 1 of their papers we have counts for

collaborators

2 papers

math.CO2026

Proof of a nonnegativity conjecture of Prellberg--Stanton

Hong-Zhang Ai, Lili Mu, Bao-Xuan Zhu

In 1994, Friedman, Joichi and Stanton conjectured that coefficients of the power-series $q + (1 - q) \prod_{i = n}^{2 n - 1} \frac{1}{1 - q ^{i}}$ are nonnegative for $n \geq 3$ and $n$ being odd.…

math.CO2010★ 51 cited

On the unimodality of independence polynomials of some graphs

Yi Wang, Bao-Xuan Zhu

In this paper we study unimodality problems for the independence polynomial of a graph, including unimodality, log-concavity and reality of zeros. We establish recurrence relations…