Powers of edge ideals

  • Carmela Ferrò
  • Mariella Murgia
  • Oana Stefania Olteanu
Keywords: Betti number, Associated prime ideal, Edge ideal, Normally torsion-free

Abstract

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.

Published
2012-05-15
Section
Articoli