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On operators on polynomials preserving real-rootedness and the Neggers-Stanley conjecture
2004 (engelsk)Inngår i: Journal of Algebraic Combinatorics, ISSN 0925-9899, E-ISSN 1572-9192, Vol. 20, nr 2, s. 119-130Artikkel i tidsskrift (Fagfellevurdert) 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.

sted, utgiver, år, opplag, sider
2004. Vol. 20, nr 2, s. 119-130
Emneord [en]
Neggers-Stanley conjecture, real-rooted polynomials, Sturm sequence
Identifikatorer
URN: urn:nbn:se:kth:diva-23862ISI: 000224920700001OAI: oai:DiVA.org:kth-23862DiVA, id: diva2:342561
Merknad
QC 20100525Tilgjengelig fra: 2010-08-10 Laget: 2010-08-10 Sist oppdatert: 2017-12-12bibliografisk kontrollert

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