Powers of edge ideals

Details Powers of edge ideals Powers of edge ideals

2011-11-26

arxiv.org/abs/1111.6157v2

Mathematics

Commutative Algebra

Scientific paper

We compute the Betti numbers for all the powers of initial and final
lexsegment edge ideals. For the powers of the edge ideal of an anti-$d-$path,
we prove that they have linear quotients and we characterize the normally
torsion-free ideals. We determine a class of non-squarefree ideals, arising
from some particular graphs, which are normally torsion-free.

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