Hypergraph Coverings and their Zeta Functions

Let H be a finite hypergraph. The concept of hypergraph coverings over H is introduced, and we can generate all hypergraph coverings by permutation voltage assignments of the edge-colored graph or the incidence graph of H. Consequently, we show two explicit decomposition formulae for the zeta function of any hypergraph covering H over H which indicates that the zeta function of H divides the zeta function of H. Mathematics Subject Classifications: 05C50,05C65, 05C25