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math.CO2020★ 1 cited
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…
math.CO2020
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…
math.CO2020
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…