Monomial ideals of weighted oriented graphs

Monomial ideals of weighted oriented graphs

Let I=I(D) be the edge ideal of a weighted oriented graph D. We determine the irredundant irreducible decomposition of I. Also, we characterize the associated primes and the unmixed property of I. Furthermore, we give a combinatorial characterization for the unmixed property of I, when D is bipartit...

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Veröffentlicht in:arXiv.org 2017-10
Hauptverfasser: Pitones, Yuriko, Reyes, Enrique, Toledo, Jonathan
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Combinatorial analysis
Mathematics - Commutative Algebra
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description Let I=I(D) be the edge ideal of a weighted oriented graph D. We determine the irredundant irreducible decomposition of I. Also, we characterize the associated primes and the unmixed property of I. Furthermore, we give a combinatorial characterization for the unmixed property of I, when D is bipartite, D is a whisker or D is a cycle. Finally, we study the Cohen-Macaulay property of I.
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title Monomial ideals of weighted oriented graphs
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