# Cohen--Macaulaynees for symbolic power ideals of edge ideals

@article{Rinaldo2011CohenMacaulayneesFS,
title={Cohen--Macaulaynees for symbolic power ideals of edge ideals},
author={Giancarlo Rinaldo and Naoki Terai and KEN-ICHI Yoshida},
journal={arXiv: Commutative Algebra},
year={2011}
}
• Published 1 December 2011
• Mathematics
• arXiv: Commutative Algebra
22 Citations
On the regularity of small symbolic powers of edge ideals of graphs.
Assume that $G$ is a graph with edge ideal $I(G)$ and let $I(G)^{(s)}$ denote the $s$-th symbolic power of $I(G)$. It is proved that for every integer $s\geq 1$, {\rm reg}(I(G)^{(s+1)})\leq
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Let 𝕂 be a field, and let R = 𝕂[x 1,…, x n ] be the polynomial ring over 𝕂 in n indeterminates x 1,…, x n . Let G be a graph with vertex-set {x 1,…, x n }, and let J be the cover ideal of G in R.
On the k-Buchsbaum property of powers of Stanley–Reisner ideals
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Nagoya Mathematical Journal
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