Xiaogang Liu

activity

20102026

most citedSpectra of subdivision-vertex and subdivision-edge neighbourhood coronae

75 citations · 297 across the 21 of their papers we have counts for

collaborators

Showing 2012Show all

6 papers · 1 filter

math.CO2012★ 75 cited

Spectra of subdivision-vertex and subdivision-edge neighbourhood coronae

Xiaogang Liu, Pengli Lu

Let $G = (V (G), E (G))$ be a graph with vertex set $V (G)$ and edge set $E (G)$ . The subdivision graph $S (G)$ of a graph $G$ is the graph obtained by inserting a new vertex int…

math.CO2012★ 36 cited

Spectra of subdivision-vertex join and subdivision-edge join of two graphs

Xiaogang Liu, Zuhe Zhang

The subdivision graph $S (G)$ of a graph $G$ is the graph obtained by inserting a new vertex into every edge of $G$ . Let $G_{1}$ and $G_{2}$ be two vertex disjoint graphs. The…

math.CO2012★ 47 cited

Spectra of the neighbourhood corona of two graphs

Xiaogang Liu, Sanming Zhou

Given simple graphs $G_{1}$ and $G_{2}$ , the neighbourhood corona of $G_{1}$ and $G_{2}$ , denoted $G_{1} ⋆ G_{2}$ , is the graph obtained by taking one copy of $G_{1}$ and $∣ V (G_{1}) ∣$ copies of…

math.CO2012

Laplacian spectral characterization of some double starlike trees

Pengli Lu, Xiaogang Liu

A tree is called double starlike if it has exactly two vertices of degree greater than two. Let $H (p, n, q)$ denote the double starlike tree obtained by attaching $p$ pendant vertice…

math.CO2012★ 3 cited

Spectral characterizations of propeller graphs

Xiaogang Liu, Sanming Zhou

A propeller graph is obtained from an $\infty$ -graph by attaching a path to the vertex of degree four, where an $\infty$ -graph consists of two cycles with precisely one common vert…

math.CO2012

Spectral properties of unitary Cayley graphs of finite commutative rings

Xiaogang Liu, Sanming Zhou

Let $R$ be a finite commutative ring. The unitary Cayley graph of $R$ , denoted $G_{R}$ , is the graph with vertex set $R$ and edge set $a, b : a, b \in R, a - b \in R^{\times}$ , where $R^\t…