Xiang-Feng Pan

most citedThe Laplacian polynomial of graphs derived from regular graphs and applications

3 citations · 3 across the 2 of their papers we have counts for

collaborators

3 papers

math.CO2024

A method for constructing graphs with the same resistance spectrum

Si-Ao Xu, Huan Zhou, Xiang-Feng Pan

Let $G = (V (G), E (G))$ be a graph with vertex set $V (G)$ and edge set $E (G)$ . The resistance distance $R_{G} (x, y)$ between two vertices $x, y$ of $G$ is defined to be the effective resis…

math.CO2014★ 3 cited

The Laplacian polynomial of graphs derived from regular graphs and applications

Jia-Bao Liu, Xiang-Feng Pan, Fu-Tao Hu

Let $R (G)$ be the graph obtained from $G$ by adding a new vertex corresponding to each edge of $G$ and by joining each new vertex to the end vertices of the corresponding edge. Let…

math.CO2014

Asymptotic Laplacian-Energy-Like Invariant of Lattices

Jia-Bao Liu, Xiang-Feng Pan, Fu-Tao Hu +1

Let $μ_{1} \geq μ_{2} \geq \dots \geq μ_{n}$ denote the Laplacian eigenvalues of $G$ with $n$ vertices. The Laplacian-energy-like invariant, denoted by $L E L (G) = \sum_{i = 1}^{n - 1} μ_{i}$ , is…