Jost, Jurgen; Raffaella Mulas and Dong Zhang
The p-Laplacian for graphs, as well as the vertex Laplace operator and the hyperedge Laplace operator for the general setting of chemical hypergraphs, are generalized. In particular, both a vertex p-Laplacian and a hyperedge p-Laplacian are defined for chemical hypergraphs, for all p ≥ 1. Several spectral properties of these operators are investigated.