Let G be a finite simple graph and I (G) denote the corresponding edge ideal. In this paper,
we obtain upper bounds for the Castelnuovo-Mumford regularity of I (G) q in terms of certain …

We survey recent studies on the Castelnuovo–Mumford regularity of edge ideals of graphs
and their powers. Our focus is on bounds and exact values of reg I (G) reg I (G) and the …

Abstract Let I= I (G) be the edge ideal of a graph G. We give various general upper bounds
for the regularity function reg Is, for s⩾ 1, addressing a conjecture made by the authors and …

Regularity of symbolic powers of edge ideals - ScienceDirect Skip to main contentSkip to
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Assume that G is a graph with edge ideal I (G) and matching number match (G). For every
integer s≥ 1, we denote the s-th squarefree power of I (G) by I (G)[s]. It is shown that for …

arXiv:1810.06308v1 [math.AC] 15 Oct 2018 Page 1 arXiv:1810.06308v1 [math.AC] 15 Oct 2018
AN UPPER BOUND FOR THE REGULARITY OF POWERS OF EDGE IDEALS Abstract. For a …

arXiv:1908.03115v2 [math.AC] 4 Sep 2019 Page 1 arXiv:1908.03115v2 [math.AC] 4 Sep 2019
REGULARITY OF EDGE IDEALS VIA SUSPENSION ARINDAM BANERJEE AND ERAN NEVO …

Let G be a finite simple graph and I(G) denote the corresponding edge ideal. In this paper,
we prove that, if G is a unicyclic graph, then, for all s≧1, the regularity of I(G)^s is exactly …

The Castelnuovo–Mumford regularity of binomial edge ideals - ScienceDirect Skip to main
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We prove two recent conjectures on some upper bounds for the Castelnuovo-Mumford
regularity of the binomial edge ideals of some different classes of graphs. We prove the …