Products of Linear Forms and Tutte Polynomials

Details Products of Linear Forms and Tutte Polynomials Products of Linear Forms and Tutte Polynomials

2009-06-25

arxiv.org/abs/0906.4774v2

Euro. J. Comb. Vol. 31, No. 7, pp. 1924-1935

Mathematics

Combinatorics

Minor changes. Accepted for publication in European Journal of Combinatorics

Scientific paper

10.1016/j.ejc.2010.01.006

Let \Delta be a finite sequence of n vectors from a vector space over any field. We consider the subspace of \operatorname{Sym}(V) spanned by \prod_{v \in S} v, where S is a subsequence of \Delta. A result of Orlik and Terao provides a doubly indexed direct sum of this space. The main theorem is that the resulting Hilbert series is the Tutte polynomial evaluation T(\Delta;1+x,y). Results of Ardila and Postnikov, Orlik and Terao, Terao, and Wagner are obtained as corollaries.

Affiliated with

Also associated with

No associations

Rating

Products of Linear Forms and Tutte 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 Products of Linear Forms and Tutte Polynomials, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Products of Linear Forms and Tutte Polynomials will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-538017