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math.CO2022
Extremed signed graphs for triangle
Dijian Wang, Yaoping Hou, Deqiong Li
In this paper, we study the Turán problem of signed graphs version. Suppose that is a connected unbalanced signed graph of order with edges and $e^-(\dot…
math.CO2022
Hermitian adjacency matrices of mixed multigraphs
Bo-Jun Yuan, Shaowei Sun, Dijian Wang
A mixed multigraph is obtained from an undirected multigraph by orienting a subset of its edges. In this paper, we study a new Hermitian matrix representation of mixed multigraphs,…
math.CO2022
On signed graphs whose spectral radius does not exceed
Dijian Wang, Wenkuan Dong, Yaoping Hou +1
The Hoffman program with respect to any real or complex square matrix associated to a graph stems from Hoffman's pioneering work on the limit points for the spectral radius…