3 papers
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.CO2018
A homogeneous polynomial associated with general hypergraphs and its applications
Yuan Hou, An Chang, Lei Zhang
In this paper, we define a homogeneous polynomial for a general hypergraph, and establish a remarkable connection between clique number and the homogeneous polynomial of a general…
math.CO2018
New results on -independence of hypergraphs
Lei Zhang, An Chang
Let be an -uniform hypergraph of order and be an integer. A -independent set is a set of vertices such that the maximum degree in the h…