On operators on polynomials preserving real-rootedness and the Neggers-Stanley Conjecture

Details On operators on polynomials preserving real-rootedness and the Neggers-Stanley Conjecture On operators on polynomials preserving real-rootedness and the Neggers-Stanley Conjecture

2003-03-12

arxiv.org/abs/math/0303147v1

J. Algebraic Combin. 20 (2004), no. 2, 119--130

Mathematics

Combinatorics

Scientific paper

We refine a technique used in a paper by Schur on real-rooted polynomials. This amounts to an extension of a theorem of Wagner on Hadamard products of Toeplitz matrices. We also apply our results to polynomials for which the Neggers-Stanley Conjecture is known to hold. More precisely, we settle interlacing properties for $E$-polynomials of series-parallel posets and column-strict labelled Ferrers posets.

Affiliated with

Also associated with

No associations

Rating

On operators on polynomials preserving real-rootedness and the Neggers-Stanley Conjecture 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 On operators on polynomials preserving real-rootedness and the Neggers-Stanley Conjecture, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On operators on polynomials preserving real-rootedness and the Neggers-Stanley Conjecture will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-204746