On Simplicial Complexes with Extremal Total Betti number and Total Bigraded Betti Number
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866909272150900736 |
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| author | Dai, Pimeng Yu, Li |
| author_facet | Dai, Pimeng Yu, Li |
| contents | We determine which simplicial complexes have the maximum or minimum sum of Betti numbers and sum of bigraded Betti numbers with a given number of vertices in each dimension. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_19423 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On Simplicial Complexes with Extremal Total Betti number and Total Bigraded Betti Number Dai, Pimeng Yu, Li Combinatorics Algebraic Topology 05E45, 13F55 We determine which simplicial complexes have the maximum or minimum sum of Betti numbers and sum of bigraded Betti numbers with a given number of vertices in each dimension. |
| title | On Simplicial Complexes with Extremal Total Betti number and Total Bigraded Betti Number |
| topic | Combinatorics Algebraic Topology 05E45, 13F55 |
| url | https://arxiv.org/abs/2407.19423 |