Jian Wang

collaborators

4 papers

math.CO2010

The critical group of $K_{m} \lor P_{n}$ and $P_{m} \lor P_{n}$

Wei-Na Shi, Yong-Liang Pan, Jian Wang

Let $G_1\sq G_2$ denote the graph obtained from $G_{1} + G_{2}$ by adding new edges from each vertex of $G_{1}$ to every vertex of $G_{2}$ . In this paper, the critical groups of the graphs $…

math.CO2009

The critical group of $K_{m} \times C_{n}$

Jian Wang, Yong-Liang Pan, Jun-Ming Xu

In this paper, the structure of the critical group of the graph $K_{m} \times C_{n}$ is determined, where $m, n \geq 3$ .

math.CO2009

A note on the third invariant factor of the Laplacian matrix of a graph

Jian Wang, Yong-Liang Pan

Let $G$ be a simple connected graph with $n \geq 5$ vertices. In this note, we will prove that $s_{3} (G) \leq n$ , and characterize the graphs which satisfy that $s_{3} (G) = n, n - 1, n - 2,$ …

math.CO2009

The critical group of $C_{4} \times C_{n}$

Jian Wang, Yong-Liang Pan

In this paper, the critical group structure of the Cartesian product graph $C_{4} \times C_{n}$ is determined, where $n \geq 3$ .

The critical group of Km​∨Pn​ and Pm​∨Pn​

The critical group of Km​×Cn​

A note on the third invariant factor of the Laplacian matrix of a graph

The critical group of C4​×Cn​

The critical group of $K_{m} \lor P_{n}$ and $P_{m} \lor P_{n}$

The critical group of $K_{m} \times C_{n}$

The critical group of $C_{4} \times C_{n}$