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On operators on polynomials preserving real-rootedness and the Neggers-Stanley conjecture
2004 (English)In: Journal of Algebraic Combinatorics, ISSN 0925-9899, E-ISSN 1572-9192, Vol. 20, no 2, 119-130 p.Article in journal (Refereed) Published
Abstract [en]

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 Polya 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.

Place, publisher, year, edition, pages
2004. Vol. 20, no 2, 119-130 p.
Keyword [en]
Neggers-Stanley conjecture, real-rooted polynomials, Sturm sequence
URN: urn:nbn:se:kth:diva-23862ISI: 000224920700001OAI: diva2:342561
QC 20100525Available from: 2010-08-10 Created: 2010-08-10Bibliographically approved

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Bränden, Petter
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