English

A K\"{u}nneth Formula of Hypergraphs

Algebraic Topology 2021-02-10 v4 Combinatorics

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.

Keywords

Cite

@article{arxiv.2003.05142,
  title  = {A K\"{u}nneth Formula of Hypergraphs},
  author = {Chong Wang and Shiquan Ren and Jian Liu},
  journal= {arXiv preprint arXiv:2003.05142},
  year   = {2021}
}

Comments

18pages

R2 v1 2026-06-23T14:11:11.062Z