Xiangfeng Pan

collaborators

4 papers

math.CO2016

Bicyclic graphs with extremal degree resistance distance

Jia-Bao Liu, Si-Qi Zhangb, Xiang-Feng Pan +2

Let $r (u, v)$ be the resistance distance between two vertices $u, v$ of a simple graph $G$ , which is the effective resistance between the vertices in the corresponding electrical ne…

math.CO2015

Further results regarding the degree resistance distance of cacti

Jia-Bao Liu, Wen-Rui Wang, Yong-Ming Zhang +1

A graph $G$ is called a cactus if each block of $G$ is either an edge or a cycle. Denote by $C a c t (n; t)$ the set of connected cacti possessing $n$ vertices and $t$ cycles. In this p…

math.CO2015

Resistance distances in corona and neighborhood corona graphs with Laplacian generalized inverse approach

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

Let $G_{1}$ and $G_{2}$ be two graphs on disjoint sets of $n_{1}$ and $n_{2}$ vertices, respectively. The corona of graphs $G_{1}$ and $G_{2}$ , denoted by $G_{1} \circ G_{2}$ , is the graph formed f…

math.CO2015

Asymptotic incidence energy and Laplacian-energy-like invariant of the Union Jack lattice

Jia-Bao Liua, Xiang-Feng Pan

The incidence energy $IE (G)$ of a graph $G$ , defined as the sum of the singular values of the incidence matrix of a graph $G$ , is a much studied quantity with well known…