3 papers
math.CO2026
An interlacing pattern between the types and coordinator polynomials
Jun-Ying Liu, Shi-Mei Ma
The study of coordinator polynomials of Weyl group lattices was initiated by Conway and Sloane. In 2013, by using a trigonometric substitution approach, Wang and Zhao proved the re…
math.CO2026
All limit points of the largest roots of matching polynomials are determined
Zhaoxi Li, Shi-Mei Ma, Jianfeng Wang +1
The largest matching root of a graph is that of its matching polynomial. In this paper, all limit points of the largest matching roots of graphs are determined. More pr…
math.CO2025
The ratio monotonicity of Eulerian-type polynomials
Jun-Ying Liu, Guanwu Liu, Shi-Mei Ma +1
This paper is motivated by determining the location of modes of some unimodal Eulerian-type polynomials. The notion of ratio monotonicity was introduced by Chen-Xia when they inves…