18 citations · 68 across the 27 of their papers we have counts for
7 papers · 1 filter
On the spectral moments of trees with a given bipartition
Shuchao Li, Jiajia Zhang
For two given positive integers and with , we denote $\mathscr{T}_n^{p, q}={T: T$ is a tree of order with a -bipartition}. For a graph with $n…
On the spectral moment of graphs with given clique number
Shuna Hu, Shuchao Li, Xixi Zhang
Let be the set of all -vertex connected graphs with clique number \,(. For -vertex connected graphs with given clique number, lexicogra…
On the spectral moment of graphs with cut edges
Shuchao Li, Huihui Zhang
Let be the adjacency matrix of a graph with , , ..., being its eigenvalues in non-increasing order. Call the number $S_k(G):=\sum_{i=1}^{n…
Extremal values on the eccentric distance sum of trees
Shuchao Li, Meng Zhang
Let be a simple connected graph. The eccentric distance sum of is defined as , where is…
Edge-grafting theorems on permanents of the Laplacian matrices of graphs and their applications
Shuchao Li, Yan Li
The trees, respectively unicyclic graphs, on vertices with the smallest Laplacian permanent are studied. In this paper, by edge-grafting transformations, the -vertex trees o…
Enumerating the total number of subtrees of trees
Shuchao Li, Shujing Wang
Over some types of trees with a given number of vertices, which trees minimize or maximize the total number of subtrees or leaf containing subtrees are studied. Here are some of th…