Graded Betti numbers of cycle graphs and standard Young tableaux
arXiv:1504.00997 · doi:10.4310/JOC.2018.v9.n1.a1
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.
4 pages