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}
}
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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