2 papers
math.CO2023
On the eigenvalues and Seidel eigenvalues of chain graphs
Zhuang Xiong, Yaoping Hou
In this paper we consider the eigenvalues and the Seidel eigenvalues of a chain graph. An$\dbar$elić, da Fonseca, Simić, and Du \cite{andelic2020tridiagonal} conjectured that there…
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…