Depth of edge rings arising from finite graphs

Details Depth of edge rings arising from finite graphs Depth of edge rings arising from finite graphs

2010-09-08

arxiv.org/abs/1009.1472v1

Mathematics

Commutative Algebra

7 pages

Scientific paper

Let $G$ be a finite graph and $K[G]$ the edge ring of $G$. Based on the
technique of Gr\"obner bases and initial ideals, it will be proved that, given
integers $f$ and $d$ with $7 \leq f \leq d$, there exists a finite graph $G$ on
$[d]={1,...,d}$ with $\depth K[G] = f$ and with $\Krull-dim K[G] = d$.

Affiliated with

Also associated with

No associations

Rating

Depth of edge rings arising from finite 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 Depth of edge rings arising from finite graphs, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Depth of edge rings arising from finite graphs will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-32405