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arXiv · 2407.19423

On Simplicial Complexes with Extremal Total Betti number and Total Bigraded Betti Number

Pimeng Dai·Li Yu
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Abstract

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.

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Pimeng Dai, Li Yu. 2024-07-28. On Simplicial Complexes with Extremal Total Betti number and Total Bigraded Betti Number. https://arxiv.org/abs/2407.19423

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