Let G be a finite simple graph and I (G) denote the corresponding edge ideal. For all s ≥ 1
s≥ 1, we obtain upper bounds for reg (I (G)^ s) reg (I (G) s) for bipartite graphs. We then …

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 …

Let G be a (C 4, 2 K 2)-free graph with edge ideal I (G)⊂ k [x 1,…, xn]. We show that I (G) s
has linear resolution for every s≥ 2. Also, we show that every power of the vertex cover …

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 …

A Cameron-Walker graph is a graph for which the matching number and the induced
matching number are the same. Assume that G is a Cameron-Walker graph with edge ideal I …

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 …

Regularity of symbolic powers of edge ideals of unicyclic graphs - ScienceDirect Skip to main
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Full article: Powers of edge ideals with linear resolutions Skip to Main Content Taylor and
Francis Online homepage Taylor and Francis Online homepage Access provided by The …

Let G be a graph which belongs to either of the following classes:(i) bipartite graphs,(ii)
unmixed graphs, or (iii) claw–free graphs. Assume that J (G) is the cover ideal G and J …

Regularity of symbolic powers of edge ideals of chordal graphs Page 1 Regularity of symbolic
powers of edge ideals of chordal graphs SA Seyed Fakhari Abstract Assume thatGis a chordal …