17 citations · 35 across the 20 of their papers we have counts for
4 papers · 2 filters
Operations of graphs and unimodality of independence polynomials
Bao-Xuan Zhu
Given two graphs and , assume that is a clique cover of and is a subset of . We introduce a new graph operation called th…
Higher order log-monotonicity of combinatorial sequences
Bao-Xuan Zhu
A sequence is called ratio log-convex in the sense that the ratio sequence is log-convex. Based on a three-term recurrence for…
Monotonicity and log-behavior of some functions related to the Euler Gamma function
Bao-Xuan Zhu
The aim of this paper is to develop analytic techniques to deal with certain monotonicity of combinatorial sequences. (1) A criterion for the monotonicity of the function $\sqrt[x]…
Proofs of some conjectures on monotonicity of number-theoretic and combinatorial sequences
Yi Wang, Bao-Xuan Zhu
We develop techniques to deal with monotonicity of sequences z_{n+1}/z_n and \sqrt[n]{z_n}. A series of conjectures of Zhi-Wei Sun and of Amdeberhan et al. are verified in certain…