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The embedded homology of hypergraph pairs.
- Source :
-
Journal of Knot Theory & Its Ramifications . Dec2022, Vol. 31 Issue 14, p1-30. 30p. - Publication Year :
- 2022
-
Abstract
- In this paper, we generalize the embedded homology groups of hypergraphs initially given in [S. Bressan, J. Li, S. Ren and J. Wu, The embedded homology of hypergraphs and applications, Asian J. Math. 23(3) (2019) 479–500] and study the relative embedded homology groups of hypergraph pairs. We prove some long exact sequences as well as a Mayer–Vietoris sequence for the relative embedded homology groups of hypergraph pairs. Moreover, we briefly discuss the two-dimensional persistence for the relative embedded homology groups of hypergraph pairs. [ABSTRACT FROM AUTHOR]
- Subjects :
- *HYPERGRAPHS
*MATHEMATICS
Subjects
Details
- Language :
- English
- ISSN :
- 02182165
- Volume :
- 31
- Issue :
- 14
- Database :
- Academic Search Index
- Journal :
- Journal of Knot Theory & Its Ramifications
- Publication Type :
- Academic Journal
- Accession number :
- 161829458
- Full Text :
- https://doi.org/10.1142/S0218216522501036