Zhen-Bo Chen

collaborators

2 papers

math.CO2026

A finite threshold for the double-comet conjecture

Dongxiu Cai, Zhenbo Chen, Xiao-Dong Zhang

For a tree $T$ , let $g (T) = λ_{1} (T) - λ_{2} (T)$ be the difference between its two largest adjacency eigenvalues. A balanced double comet is obtained by attaching equally many leaves to th…

math.CO2026

Polynomial positivity cones for Coxeter roots and walks in trees

Dongxiu Cai, Zhenbo Chen, Jiasheng Zeng +1

For a finite simple graph $G$ and an integer $k \geq 0$ , let $w_{k} (G)$ denote the number of walks of length $k$ . We prove the conjecture of Täubig, Weihmann, Kosub, Hemmecke, and Mayr…