کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4665745 1633829 2014 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On the toric ideal of a matroid
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
On the toric ideal of a matroid
چکیده انگلیسی

Describing minimal generating set of a toric ideal is a well-studied and difficult problem. In 1980 White conjectured that the toric ideal associated to a matroid is equal to the ideal generated by quadratic binomials corresponding to symmetric exchanges.We prove White's conjecture up to saturation, that is that the saturations of both ideals are equal. In the language of algebraic geometry this means that both ideals define the same projective scheme. Additionally we prove the full conjecture for strongly base orderable matroids.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Mathematics - Volume 259, 10 July 2014, Pages 1–12
نویسندگان
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