3 papers
math.CO2026
On the Asymptotic Normality and Unimodality of Genus Distributions of Wheels
Yichao Chen, Yan Yang
The genus polynomial of a graph is the generating polynomial for the number of nonequivalent embeddings of the graph on each orientable surface. In this paper, we address three que…
math.CO2025
Asymptotic normality of embedding distributions of some families of graphs
Yichao Chen, Wenjie Fang, Zhicheng Gao +1
Computing the embedding distribution of a given graph is a fundamental question in topological graph theory. In this article, we extend our viewpoint to a sequence of graphs and co…
math.CO2025
Enumerating Partial Duals of Hypermaps by Genus
Wenwen Liu, Yichao Chen
The concept of partial duality in hypermaps was introduced by Chmutov and Vignes-Tourneret, and Smith independently. This notion serves as a generalization of the concept of partia…