Yilun Zhang

collaborators

2 papers

math.CO2026

Degree-similar Unicyclic Graphs are Isomorphic

Yi-Liu Zhang, Yi-Zheng Fan

Two graphs are degree-similar if their adjacency matrices and degree matrices are simultaneously similar. Godsil and Sun asked whether non-isomorphic degree-similar unicyclic graph…

math.CO2025

Degree-similar graphs and cospectral graphs

Yi-Zheng Fan, Ruo-Jie Xing, Yi-Liu Zhang +1

Let $G$ be a graph with adjacency matrix $A (G)$ and degree matrix $D (G)$ , and let $L_{I^} ¼ (G) := A (G) - I^¼ D (G)$ . Two graphs $G_{1}$ and $G_{2}$ are called \emph{degree-similar} if there exist…