Geodesic
An upper bound for the regularity of symbolic powers of edge ideals of chordal graphs
Seyed Amin Seyed Fakhari1
1University of Tehran
The electronic journal of combinatorics, Tome 26 (2019) no. 2
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Assume that $G$ is a chordal graph with edge ideal $I(G)$ and ordered matching number $\nu_{o}(G)$. For every integer $s\geq 1$, we denote the $s$-th symbolic power of $I(G)$ by $I(G)^{(s)}$. It is shown that ${\rm reg}(I(G)^{(s)})\leq 2s+\nu_{o}(G)-1$. As a consequence, we determine the regularity of symbolic powers of edge ideals of chordal Cameron-Walker graphs.
DOI : 10.37236/8566
Classification : 13D02, 05E99
Mots-clés : syzygies, resolutions

Seyed Amin Seyed Fakhari  1

1 University of Tehran 
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     title = {An upper bound for the regularity of symbolic powers of edge ideals of chordal graphs},
     journal = {The electronic journal of combinatorics},
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Seyed Amin Seyed Fakhari. An upper bound for the regularity of symbolic powers of edge ideals of chordal graphs. The electronic journal of combinatorics, Tome 26 (2019) no. 2. doi: 10.37236/8566

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