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

  • Authors:

  • Rafael H. Villarreal

  • Affiliations:

  • Departamento de Matemáticas, Centro de Investigación y de Estudios Avanzados del IPN, Mexico City, Mexico 07000

  • Venue:
  • Journal of Algebraic Combinatorics: An International Journal
  • Year:
  • 2008

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Abstract

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.