K\"{u}nneth Formulas of Hypergraphs
Chong Wang, Shiquan Ren, Jian Liu · arXiv (Cornell University) · 2020
Hypergraphs are higher-dimensional generalizations of graphs. An (abstract) simplicial complex is a hypergraph such that all the faces of hyperedges are still hyperedges. In this paper, by using the embedded homology defined in (cf. [2]), as a generalization of the Kunneth formula for the tensor product of chain complexes, we give a Kunneth formula for the tensor product of graded submodules of chain complexes. Moreover, we study the Kunneth formulas for join and product of hypergraphs successively.