Journal of Combinatorics
Volume 9 (2018)
Graded Betti numbers of cycle graphs and standard Young tableaux
Pages: 1 – 7
We give a bijective proof that the graded 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.
This work was supported in part by NSF Grant #1159206.
Received 21 April 2015
Published 5 January 2018