A generalized FKG-inequality for compositions
Commutative Algebra
2017-05-23 v2 Combinatorics
Metric Geometry
Abstract
We prove a Fortuin-Kasteleyn-Ginibre-type inequality for the lattice of compositions of the integer n with at most r parts. As an immediate application we get a wide generalization of the classical Alexandrov-Fenchel inequality for mixed volumes and of Teissier's inequality for mixed covolumes.
Keywords
Cite
@article{arxiv.1412.8200,
title = {A generalized FKG-inequality for compositions},
author = {Dmitry Kerner and András Némethi},
journal= {arXiv preprint arXiv:1412.8200},
year = {2017}
}
Comments
the published version, J. Combin. Theory Ser. A 146 (2017), 184--200