Shuchao Li

most citedOn the spectral moment of graphs with

k

cut edges

2 citations · 4 across the 6 of their papers we have counts for

collaborators

6 papers

math.CO2013★ 1 cited

On the eccentric distance sum of unicyclic graphs with a given matching number

Shuchao Li, Yibing Song, Bing Wei

Let $G = (V_{G}, E_{G})$ be a simple connected graph. The eccentric distance sum of $G$ is defined as $ξ^{d} (G) = \sum_{v \in V_{G}} ε_{G} (v) D_{G} (v),$ where $ε_{G} (v)$ is the…

math.CO2013

Characterization of tricyclic graphs with exactly two $Q$ -main eigenvalues

Shuchao Li, Xue Yang

The signless Laplacian matrix of a graph $G$ is defined to be the sum of its adjacency matrix and degree diagonal matrix, and its eigenvalues are called $Q$ -eigenvalues of $G$ . A $…

math.CO2012

On the spectral moments of trees with a given bipartition

Shuchao Li, Jiajia Zhang

For two given positive integers $p$ and $q$ with $p ⩽ q$ , we denote $\mathscr{T}_n^{p, q}={T: T$ is a tree of order $n$ with a $(p, q)$ -bipartition}. For a graph $G$ with $n…

math.CO2012★ 1 cited

On the spectral moment of graphs with given clique number

Shuna Hu, Shuchao Li, Xixi Zhang

Let $L_{n, t}$ be the set of all $n$ -vertex connected graphs with clique number $t$ \,( $2 \leq t \leq n)$ . For $n$ -vertex connected graphs with given clique number, lexicogra…

math.CO2012★ 2 cited

On the spectral moment of graphs with $k$ cut edges

Shuchao Li, Huihui Zhang

Let $A (G)$ be the adjacency matrix of a graph $G$ with $λ_{1} (G)$ , $λ_{2} (G)$ , ..., $λ_{n} (G)$ being its eigenvalues in non-increasing order. Call the number $S_k(G):=\sum_{i=1}^{n…

math.CO2012

Extremal values on the eccentric distance sum of trees

Shuchao Li, Meng Zhang

Let $G = (V_{G}, E_{G})$ be a simple connected graph. The eccentric distance sum of $G$ is defined as $ξ^{d} (G) = \sum_{v \in V_{G}} ε_{G} (v) D_{G} (v)$ , where $ε_{G} (v)$ is…