Journal article
Filtered matchings and simplicial complexes
- Abstract:
- To any finite simplicial complex X, we associate a natural filtration starting from Chari and Joswig’s discrete Morse complex and abutting to the matching complex of X. This construction leads to the definition of several homology theories, which we compute in a number of examples. We also completely determine the graded object associated to this filtration in terms of the homology of simpler complexes. This last result provides some connections to the number of vertex-disjoint cycles of a graph.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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- Publication website:
- https://ajc.maths.uq.edu.au/pdf/82/ajc_v82_p335.pdf
Authors
- Publisher:
- Combinatorial Mathematics Society of Australasia
- Journal:
- Australasian Journal of Combinatorics More from this journal
- Volume:
- 82
- Issue:
- 3
- Pages:
- 335–352
- Publication date:
- 2022-02-28
- Acceptance date:
- 2022-02-05
- EISSN:
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2202-3518
- ISSN:
-
1034-4942
- Language:
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English
- Keywords:
- Pubs id:
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1140424
- Local pid:
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pubs:1140424
- Deposit date:
-
2020-11-14
Terms of use
- Copyright holder:
- Celoria and Yerolemou
- Copyright date:
- 2022
- Rights statement:
- © The author(s). Released under the CC BY 4.0 International License.
- Licence:
- CC Attribution (CC BY)
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