Regularity, Depth and Arithmetic Rank of Bipartite Edge Ideals

Details Regularity, Depth and Arithmetic Rank of Bipartite Edge Ideals Regularity, Depth and Arithmetic Rank of Bipartite Edge Ideals

2009-02-03

arxiv.org/abs/0902.0437v1

Mathematics

Commutative Algebra

Scientific paper

We study minimal free resolutions of edge ideals of bipartite graphs. We associate a directed graph to a bipartite graph whose edge ideal is unmixed, and give expressions for the regularity and the depth of the edge ideal in terms of invariants of the directed graph. For some classes of unmixed edge ideals, we show that the arithmetic rank of the ideal equals projective dimension of its quotient.

Affiliated with

Also associated with

No associations

Rating

Regularity, Depth and Arithmetic Rank of Bipartite Edge Ideals 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 Regularity, Depth and Arithmetic Rank of Bipartite Edge Ideals, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Regularity, Depth and Arithmetic Rank of Bipartite Edge Ideals will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-296970