Article

The embedded homology of hypergraphs and applications

2019-01-01

Abstract excerpt

Hypergraphs are mathematical models for many problems in data sciences. In recent decades, the topological properties of hypergraphs have been studied and various kinds of (co)homologies have been constructed (cf. [3, 4, 12]). In this paper, generalising the usual homology of simplicial complexes, we define the embedded homology of hypergraphs as well as the persistent embedded homology of sequences of hypergraphs...

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Literature Corpus work: bd6081d8-3b3a-52bd-9c40-a7ac50654772
DOI: 10.4310/ajm.2019.v23.n3.a6

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