1 citations · 2 across the 5 of their papers we have counts for
6 papers
Some -spectral extremal results for some digraphs
Haiying Shan, Feifei Wang, Changxiang He
In this paper, we characterize the extremal digraphs with the maximal or minimal -spectral radius among some digraph classes such as rose digraphs, generalized theta digraphs an…
The smallest spectral radius of bicyclic uniform hypergraphs with a given size
Haiying Shan, Zhiyi Wang, Feifei Wang
Identifying graphs with extremal properties is an extensively studied topic in spectral graph theory. In this paper, we study the log-concavity of a type of iteration sequence rela…
A proof of a conjecture on the distance spectral radius and maximum transmission of graphs
Lele Liu, Haiying Shan, Changxiang He
Let be a simple connected graph, and be the distance matrix of . Suppose that and are the maximum row sum and the spectral radius of , re…
On the index of unbalanced signed bicyclic graphs
Changxiang He, Yuying Li, Haiying Shan +1
In this paper, we focus on the index ( largest eigenvalue) of the adjacency matrix of connected signed graphs. We give some general results on the index when the corresponding sign…
On some properties of the -spectral radius of the -uniform hypergraph
Feifei Wang, Haiying Shan, Zhiyi Wang
In this paper we show how the -spectral radius changes under the edge grafting operations on connected -uniform hypergraphs. We characterize the extremal hypertree for -sp…
The energy change of the complete multipartite graph
Hai-Ying Shan, Chang-Xiang He, Zhen-Sheng Yu
The energy of a graph is defined as the sum of the absolute values of all eigenvalues of the graph. Akbari et al. \cite{S. Akbari} proved that for a complete multipartite graph $K_…