Geodesic
On operators on polynomials preserving real-rootedness and the Neggers-Stanley conjecture
Journal of Algebraic Combinatorics, Tome 20 (2004) no. 2, pp. 119-130.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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 Pólya frequency sequences. 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.
Keywords: neggers-Stanley conjecture, real-rooted polynomials, Sturm sequence 
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     title = {On operators on polynomials preserving real-rootedness and the {Neggers-Stanley} conjecture},
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Brändén, Petter. On operators on polynomials preserving real-rootedness and the Neggers-Stanley conjecture. Journal of Algebraic Combinatorics, Tome 20 (2004) no. 2, pp. 119-130. http://geodesic.mathdoc.fr/item/JAC_2004__20_2_a5/