Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4584671 | Journal of Algebra | 2014 | 21 Pages |
Abstract
Let A={a1,â¦,an}âNm. We give an algebraic characterization of the universal Markov basis of the toric ideal IA. We show that the Markov complexity of A={n1,n2,n3} is equal to 2 if IA is complete intersection and equal to 3 otherwise, answering a question posed by Santos and Sturmfels. We prove that for any râ¥2 there is a unique minimal Markov basis of A(r). Moreover, we prove that for any integer l there exist integers n1, n2, n3 such that the Graver complexity of A is greater than l.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Hara Charalambous, Apostolos Thoma, Marius Vladoiu,