On Simplicial Complexes with Extremal Total Betti number and Total Bigraded Betti Number
Combinatorics
2024-07-30 v1 Algebraic Topology
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.
Cite
@article{arxiv.2407.19423,
title = {On Simplicial Complexes with Extremal Total Betti number and Total Bigraded Betti Number},
author = {Pimeng Dai and Li Yu},
journal= {arXiv preprint arXiv:2407.19423},
year = {2024}
}
Comments
22 pages, 1 figure