Ring graphs and complete intersection toric ideals

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Ring graphs and complete intersection toric ideals

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 ideal...

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ژورنال

عنوان ژورنال: Discrete Mathematics

سال: 2010

ISSN: 0012-365X

DOI: 10.1016/j.disc.2009.03.020