کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4649491 1342458 2010 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Ring graphs and complete intersection toric ideals
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات گسسته و ترکیبات
پیش نمایش صفحه اول مقاله
Ring graphs and complete intersection toric ideals
چکیده انگلیسی

We study the family of graphs whose number of primitive cycles equals its cycle rank. It is shown that this family is precisely the family of ring graphs. Then we study the complete intersection property of toric ideals of bipartite graphs and oriented graphs. An interesting application is that complete intersection toric ideals of bipartite graphs correspond to ring graphs and that these ideals are minimally generated by Gröbner bases. We prove that any graph can be oriented such that its toric ideal is a complete intersection with a universal Gröbner basis determined by the cycles. It turns out that bipartite ring graphs are exactly the bipartite graphs that have complete intersection toric ideals for any orientation.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Discrete Mathematics - Volume 310, Issue 3, 6 February 2010, Pages 430–441
نویسندگان
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