Blowup algebras of square-free monomial ideals and some links to combinatorial optimization problems

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Let I=(x^{v_1},...,x^{v_q} be a square-free monomial ideal of a polynomial ring K[x_1,...,x_n] over an arbitrary field K and let A be the incidence matrix with column vectors {v_1},...,{v_q}. We will establish some connections between algebraic properties of certain graded algebras associated to I and combinatorial optimization properties of certain polyhedrons and clutters associated to A and I respectively. Some applications to Rees algebras and combinatorial optimization are presented. We study a conjecture of Conforti and Cornuéjols using an algebraic approach.
Rocky Mountain J. Math. 39 (2009), no. 1, 71--102

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Commutative Algebra, Combinatorics, 13H10; 13F20

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http://salesiana.dossiersoluciones.com/handle/123456789/217502

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0609609
 http://arxiv.org/abs/math/0609609
 Rocky Mountain J. Math. 39 (2009), no. 1, 71--102

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arXiv