Regularity of Edge Ideals Via Suspension

Published 8 Aug 2019 in math.AC and math.CO | (1908.03115v2)

Abstract: We study the Castelnuovo-Mumford regularity of powers of edge ideals. We prove that if G is a bipartite graph, then reg(I(G)^s) \leq 2s + reg I(G) - 2 for all s \geq 2, which is the best possible upper bound for any s. Suspension plays a key role in proof of the base case s =2.

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