2022/07/04 by Lei Zhang, Yaoping Hou, Zhang, Lei +1
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Combinatorics (math.CO) #FOS: Mathematics #Graph theory and applications #Spectral Theory in Mathematical Physics
paper · pdf · doi:10.48550/arxiv.2207.02664
openalex publication_date 2022/07/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.