For every bipartite graph G and every s >= 2, the Castelnuovo-Mumford regularity of the s-th power of its edge ideal is at most 2s + reg(I(G)) - 2, and this bound is tight.
Title resolution pending
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.AC 1years
2019 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
Regularity of Edge Ideals Via Suspension
For every bipartite graph G and every s >= 2, the Castelnuovo-Mumford regularity of the s-th power of its edge ideal is at most 2s + reg(I(G)) - 2, and this bound is tight.