Geodesic
Regularity, depth and arithmetic rank of bipartite edge ideals
Journal of Algebraic Combinatorics, Tome 30 (2009) no. 4, pp. 429-445.

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

Summary: We study minimal free resolutions of edge ideals of bipartite graphs. We associate a directed graph to a bipartite graph whose edge ideal is unmixed, and give expressions for the regularity and the depth of the edge ideal in terms of invariants of the directed graph. For some classes of unmixed edge ideals, we show that the arithmetic rank of the ideal equals projective dimension of its quotient.
Keywords: keywords monomial ideals, graded free resolutions, arithmetic rank 
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     author = {Kummini, Manoj},
     title = {Regularity, depth and arithmetic rank of bipartite edge ideals},
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Kummini, Manoj. Regularity, depth and arithmetic rank of bipartite edge ideals. Journal of Algebraic Combinatorics, Tome 30 (2009) no. 4, pp. 429-445. http://geodesic.mathdoc.fr/item/JAC_2009__30_4_a7/