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On the relative size of toric bases

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 نشر من قبل Christos Tatakis
 تاريخ النشر 2019
  مجال البحث
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We consider the Graver basis, the universal Groebner basis, a Markov basis and the set of the circuits of a toric ideal. Let $A, B$ be any two of these bases such that $A ot subset B$, we prove that there is no polynomial on the size or on the maximal degree of the elements of $B$ which bounds the size or the maximal degree of the elements of $A$ correspondingly.

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