Rees algebras and polyhedral cones of ideals of vertex covers of perfect graphs

Details Rees algebras and polyhedral cones of ideals of vertex covers of perfect graphs Rees algebras and polyhedral cones of ideals of vertex covers of perfect graphs

2006-07-13

arxiv.org/abs/math/0607329v4

J. Algebraic Combin. 27(3) (2008), 293-305

Mathematics

Commutative Algebra

14 pages

Scientific paper

Let G be a perfect graph and let J be its ideal of vertex covers. We show
that the Rees algebra of J is normal and that this algebra is Gorenstein if G
is unmixed. Then we give a description--in terms of cliques--of the symbolic
Rees algebra and the Simis cone of the edge ideal of G.

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