A Tutte polynomial for toric arrangements

Details A Tutte polynomial for toric arrangements A Tutte polynomial for toric arrangements

2009-11-25

arxiv.org/abs/0911.4823v5

Mathematics

Combinatorics

Final version, to appear on Transactions AMS. 28 pages, 4 pictures

Scientific paper

We introduce a multiplicity Tutte polynomial M(x,y), with applications to zonotopes and toric arrangements. We prove that M(x,y) satisfies a deletion-restriction recurrence and has positive coefficients. The characteristic polynomial and the Poincare' polynomial of a toric arrangement are shown to be specializations of the associated polynomial M(x,y), likewise the corresponding polynomials for a hyperplane arrangement are specializations of the ordinary Tutte polynomial. Furthermore, M(1,y) is the Hilbert series of the related discrete Dahmen-Micchelli space, while M(x,1) computes the volume and the number of integral points of the associated zonotope.

Affiliated with

Also associated with

No associations

Rating

A Tutte polynomial for toric arrangements 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 A Tutte polynomial for toric arrangements, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A Tutte polynomial for toric arrangements will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-623570