Counterexamples to the Neggers-Stanley conjecture

Details Counterexamples to the Neggers-Stanley conjecture Counterexamples to the Neggers-Stanley conjecture

2004-08-23

arxiv.org/abs/math/0408312v2

Electron. Res. Announc. Amer. Math. Soc. 10 (2004), 155--158 (electronic)

Mathematics

Combinatorics

4 pages

Scientific paper

The Neggers-Stanley conjecture (also known as the Poset conjecture) asserts
that the polynomial counting the linear extensions of a partially ordered set
on $\{1,2,...,p\}$ by their number of descents has real zeros only. We provide
counterexamples to this conjecture.

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