The Weighted Embedded Homology of Super-Hypergraphs

In this paper, we define the weighted embedded homology of super-hypergraphs, give a quasi-partial order and a pseudo-metric on the set made up of all non-vanishing weights on a finite set, and clarify the relationship between the torsion parts of weighted embedded homology with integer coefficients of super-hypergraphs under certain weights.

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Publication Details

Journal
Wuhan University Journal of Natural Sciences
Published
2024-12-01
DOI
https://doi.org/10.1051/wujns/2024296523
Primary Topic
Topological and Geometric Data Analysis
Type
article
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article

The Weighted Embedded Homology of Super-Hypergraphs

Chong Wang
Wuhan University Journal of Natural Sciences
Topological and Geometric Data Analysis
article

The Weighted Embedded Homology of Super-Hypergraphs

Chong Wang
article en

Abstract

In this paper, we define the weighted embedded homology of super-hypergraphs, give a quasi-partial order and a pseudo-metric on the set made up of all non-vanishing weights on a finite set, and clarify the relationship between the torsion parts of weighted embedded homology with integer coefficients of super-hypergraphs under certain weights.

Wuhan University Journal of Natural SciencesVol. 29(6)
Cangzhou Normal University (CN)
Openalex Percentile: Top 71%
Topological and Geometric Data Analysis
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The Weighted Embedded Homology of Super-Hypergraphs — Chong Wang · Wuhan University Journal of Natural Sciences (2024) | TGRS Research Map | TGRS