Viewing counting polynomials as Hilbert functions via Ehrhart theory

Details Viewing counting polynomials as Hilbert functions via Ehrhart theory Viewing counting polynomials as Hilbert functions via Ehrhart theory

2009-11-27

arxiv.org/abs/0911.5109v1

Mathematics

Combinatorics

11 pages

Scientific paper

Steingrimsson (2001) showed that the chromatic polynomial of a graph is the Hilbert function of a relative Stanley-Reisner ideal. We approach this result from the point of view of Ehrhart theory and give a sufficient criterion for when the Ehrhart polynomial of a given relative polytopal complex is a Hilbert function in Steingrimsson's sense. We use this result to establish that the modular and integral flow and tension polynomials of a graph are Hilbert functions.

Affiliated with

Also associated with

No associations

Rating

Viewing counting polynomials as Hilbert functions via Ehrhart theory 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 Viewing counting polynomials as Hilbert functions via Ehrhart theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Viewing counting polynomials as Hilbert functions via Ehrhart theory will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-194732