Arithmetical rank of toric ideals associated to graphs

Details Arithmetical rank of toric ideals associated to graphs Arithmetical rank of toric ideals associated to graphs

2008-12-16

arxiv.org/abs/0812.3097v2

Mathematics

Commutative Algebra

13 pages

Scientific paper

Let $I_{G} \subset K[x_{1},...,x_{m}]$ be the toric ideal associated to a finite graph $G$. In this paper we study the binomial arithmetical rank and the $G$-homogeneous arithmetical rank of $I_G$ in 2 cases: $G$ is bipartite, $I_G$ is generated by quadratic binomials. In both cases we prove that the binomial arithmetical rank and the $G$-arithmetical rank coincide with the minimal number of generators of $I_G$.

Affiliated with

Also associated with

No associations

Rating

Arithmetical rank of toric ideals associated to graphs does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Arithmetical rank of toric ideals associated to graphs, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Arithmetical rank of toric ideals associated to graphs will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-227477