A K\"{u}nneth Formula of Hypergraphs

Abstract

In this paper, based on the embedded homology groups of hypergraphs defined in \cite{h1}, we define the product of hypergraphs and prove the corresponding K\"{u}nneth formula of hypergraphs which can be generalized to the K\"{u}nneth formula for the embedded homology of graded subsets of chain complexes with coefficients in a principal ideal domain.