Geodesic
The regularity of powers of edge ideals
Journal of Algebraic Combinatorics, Tome 41 (2015) no. 2, pp. 303-321.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

In this paper, we prove the existence of a special order on the set of minimal monomial generators of powers of edge ideals of arbitrary graphs. Using this order, we find new upper bounds on the regularity of powers of edge ideals of graphs whose complement does not have any induced four cycles.
Classification : 13-02, 13F55, 05C10
Keywords: Castelnuovo-Mumford regularity, powers of edge ideals, cricket free 
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     author = {Banerjee, Arindam},
     title = {The regularity of powers of edge ideals},
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Banerjee, Arindam. The regularity of powers of edge ideals. Journal of Algebraic Combinatorics, Tome 41 (2015) no. 2, pp. 303-321. http://geodesic.mathdoc.fr/item/JAC_2015__41_2_a8/