A generalized FKG-inequality for compositions
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- December 2014
- DOI:
- 10.48550/arXiv.1412.8200
- arXiv:
- arXiv:1412.8200
- Bibcode:
- 2014arXiv1412.8200K
- Keywords:
-
- Mathematics - Commutative Algebra;
- Mathematics - Combinatorics;
- Mathematics - Metric Geometry
- E-Print:
- the published version, J. Combin. Theory Ser. A 146 (2017), 184--200