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Monomial ideals of weighted oriented graphs

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 نشر من قبل Yuriko Pitones
 تاريخ النشر 2017
  مجال البحث
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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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