Graded Betti numbers of cycle graphs and standard Young tableaux
Combinatorics
2019-09-04 v1 Commutative Algebra
Abstract
We give a bijective proof that the Betti numbers of a minimal free resolution of the Stanley-Reisner ring of a cycle graph (viewed as a one-dimensional simplicial complex) are given by the number of standard Young tableaux of a given shape.
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Cite
@article{arxiv.1504.00997,
title = {Graded Betti numbers of cycle graphs and standard Young tableaux},
author = {Steven Klee and Matthew T. Stamps},
journal= {arXiv preprint arXiv:1504.00997},
year = {2019}
}
Comments
4 pages