In this note lower bounds for the projective dimension of edge ideals are determined and the integrality of the symmetric algebra of these ideals is studied for some classes of simple graphs. Criterions about torsion freeness of the symmetric powers are also analyzed and conditions about the acyclicity of the Z-complex of edge ideals of graphs are obtained.
Projective dimension and symmetric algebra of graph ideals
IMBESI, Maurizio
2012-01-01
Abstract
In this note lower bounds for the projective dimension of edge ideals are determined and the integrality of the symmetric algebra of these ideals is studied for some classes of simple graphs. Criterions about torsion freeness of the symmetric powers are also analyzed and conditions about the acyclicity of the Z-complex of edge ideals of graphs are obtained.File in questo prodotto:
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