A Note on Rees Algebras and the MFMC Property
By Isidoro Gitler, Carlos E. Valencia, Rafael H. Villarreal. 2005
59 citations recorded by the source corpus.
We study irreducible representations of Rees cones and char- acterize the max-flow min-cut property of clutters in terms of the nor- mality of Rees algebras and the integrality of certain polyhedra. Then we present some applications to combinatorial optimization and com- mutative algebra. As a byproduct we obtain an eective method, based
Subfields: Algebra and Number Theory, Discrete Mathematics and Combinatorics, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/4b599bd0938ad21cbb3649acf481b9cf78bf0814
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In Algebra and Number Theory
- Huy Tài Hà
- Rafael H. Villarreal
- Adam Van Tuyl
- Susan Morey
- Jürgen Herzog
- Ngô Viêt Trung
- Takayuki Hibi
- Xinxian Zheng
In Discrete Mathematics and Combinatorics
- Rafael H. Villarreal
- Takayuki Hibi
- Jürgen Herzog
- Susan Morey
- Ngô Viêt Trung
- Huy Tài Hà
- Giancarlo Rinaldo
- Asia Rauf
In Geometry and Topology
- Huy Tài Hà
- Susan Morey
- Rafael H. Villarreal
- Jürgen Herzog
- Ngô Viêt Trung
- Adam Van Tuyl
- Takayuki Hibi
- Xinxian Zheng
Citations in the corpus
- Standard graded vertex cover algebras, cycles and leaves (2006, result): “This result recovers two recent results of Escobar, Villarreal and Yoshino [8] and Gitler, Valencia and Villareal [13] on the normality of the Rees algebra of I(∆).”
- Embedded Associated Primes of Powers of Square-free Monomial Ideals (2008, background): “[11]), but are given here for the convenience of the reader.”
- Edge ideals: algebraic and combinatorial properties (2010, background): “[35, 47, 69] Let C be a clutter and let I be its edge ideal.”