Stanley-Reisner Rings | SpringerLink Skip to main content Advertisement SpringerLink Account
Menu Find a journal Publish with us Track your research Search Cart Book cover Commutative …

In this article, we obtain an upper bound for the Castelnuovo-Mumford regularity of powers
of an ideal generated by a homogeneous quadratic sequence in a polynomial ring in terms …

Comparison between regularity of small symbolic powers and ordinary powers of an edge ideal -
ScienceDirect Skip to main contentSkip to article Elsevier logo Journals & Books Search …

Let G be a graph and let I= I (G) be its edge ideal. When G is unicyclic, we give a
decomposition of symbolic powers of I in terms of its ordinary powers. This allows us to …

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 …

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 …

Let $ I (G)^{[k]} $ denote the $ k $ th squarefree power of the edge ideal of $ G $. When $ G $
is a forest, we provide a sharp upper bound for the regularity of $ I (G)^{[k]} $ in terms of the …

Let $ S= K [x_1,\ldots, x_n] $ and let $ I $ be the $ t $-path ideal of the line graph $ L_n $ with
$ n $-vertices. It is shown that the set of associated prime ideals of $ I^ s $ is equal to the set …

Let I be the t-path ideal of Ln, the line graph with n-vertices. It is shown that Is has a linear
resolution for some s≥ 1 (or equivalently for all s≥ 1) if and only if Is has linear quotients for …