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In 2001, Davies, Gladwell, Leydold, and Stadler proved discrete nodal domaintheorems for eigenfunctions of generalized Laplacians. In 2019, Jost and Mulasgeneralized the normalized combinatorial Laplace operator of graphs to signedhypergraphs. In this paper, we establish nodal domain theorems for thenormalized combinatorial Laplace operator in signed hypergraphs. We also obtaina lower bound estimates for the number of strong nodal domains.

Nodal domain theorem of signed hypergraphs