Bounds on the Coefficients of Tension and Flow Polynomials

Details Bounds on the Coefficients of Tension and Flow Polynomials Bounds on the Coefficients of Tension and Flow Polynomials

2010-04-20

arxiv.org/abs/1004.3470v1

Mathematics

Combinatorics

16 pages

Scientific paper

The goal of this article is to obtain bounds on the coefficients of modular and integral flow and tension polynomials of graphs. To this end we make use of the fact that these polynomials can be realized as Ehrhart polynomials of inside-out polytopes. Inside-out polytopes come with an associated relative polytopal complex and, for a wide class of inside-out polytopes, we show that this complex has a convex ear decomposition. This leads to the desired bounds on the coefficients of these polynomials.

Affiliated with

Also associated with

No associations

Rating

Bounds on the Coefficients of Tension and Flow Polynomials 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 Bounds on the Coefficients of Tension and Flow Polynomials, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Bounds on the Coefficients of Tension and Flow Polynomials will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-473337