From Clutters to Matroids

نویسنده

  • Jaume Martí-Farré
چکیده

This paper deals with the question of completing a monotone increasing family of subsets Γ of a finite set Ω to obtain the dependent sets of a matroid. Specifically, we provide several natural processes for transforming the clutter Λ of the inclusionminimal subsets of the family Γ into the set of circuits C(M) of a matroid M with ground set Ω. In addition, by combining these processes, we prove that all the minimal matroidal completions of the family can be obtained.

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عنوان ژورنال:
  • Electr. J. Comb.

دوره 21  شماره 

صفحات  -

تاریخ انتشار 2014