Graded Betti numbers of cycle graphs and standard Young tableaux

Published 4 Apr 2015 in math.CO and math.AC | (1504.00997v1)

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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