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Counterexamples to the Neggers-Stanley conjecture


Author: Petter Brändén
Journal: Electron. Res. Announc. Amer. Math. Soc. 10 (2004), 155-158
MSC (2000): Primary 06A07, 26C10
DOI: https://doi.org/10.1090/S1079-6762-04-00140-4
Published electronically: December 24, 2004
MathSciNet review: 2119757
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Abstract: The Neggers-Stanley conjecture asserts that the polynomial counting the linear extensions of a labeled finite partially ordered set by the number of descents has real zeros only. We provide counterexamples to this conjecture.


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Additional Information

Petter Brändén
Affiliation: Department of Mathematics, Chalmers University of Technology and Göteborg University, S-412 96 Göteborg, Sweden
Email: branden@math.chalmers.se

DOI: https://doi.org/10.1090/S1079-6762-04-00140-4
Keywords: Neggers-Stanley conjecture, partially ordered set, linear extension, real roots
Received by editor(s): August 31, 2004
Published electronically: December 24, 2004
Communicated by: Sergey Fomin
Article copyright: © Copyright 2004 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.