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BIBTEX RIS

Combinatorics of symbolic Rees algebras of edge ideals of clutters

2011; American Mathematical Society; Linguagem: Inglês

10.1090/conm/555/10984

ISSN

1098-3627

Autores

José Martı́nez-Bernal, Carlos Rentería-Márquez, Rafael H. Villarreal,

Tópico(s)

Homotopy and Cohomology in Algebraic Topology

Resumo

Let C be a clutter and let I be its edge ideal.We present a combinatorial description of the minimal generators of the symbolic Rees algebra Rs(I) of I.It is shown that the minimal generators of Rs(I) are in one to one correspondence with the indecomposable parallelizations of C. From our description some major results on symbolic Rees algebras of perfect graphs and clutters will follow.As a byproduct, we give a method, using Hilbert bases, to compute all indecomposable parallelizations of C and all the corresponding vertex covering numbers.

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