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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
Nodal domain theorem of signed hypergraphs
Lei Zhang, Yaoping Hou
In 2001, Davies, Gladwell, Leydold, and Stadler proved discrete nodal domain theorems for eigenfunctions of generalized Laplacians. In 2019, Jost and Mulas generalized the normaliz…
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…