Year: 2022
Type: preprint
Abstract: In 2001, Davies, Gladwell, Leydold, and Stadler proved discrete nodal domain theorems for eigenfunctions of generalized Laplacians. In 2019, Jost and Mulas generalized the normalized combinatorial Laplace operator of graphs to signed hypergraphs. In this paper, we establish nodal domain theorems for the normalized combinatorial Laplace operator in signed hypergraphs. We also obtain a lower bound estimates for the number of strong nodal domains.
Source: arXiv (Cornell University)
Authors: Zhang, Lei, Hou, Yaoping
Institution: Hunan Normal University
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Award: 图的沙堆群和符号图的谱相关问题研究
OpenAlex ID: W4284892418