Castillo, Federico and Liu, Fu - Ehrhart Positivity for Generalized Permutohedra

dmtcs:2505 - Discrete Mathematics & Theoretical Computer Science, January 1, 2015, DMTCS Proceedings, 27th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2015)
Ehrhart Positivity for Generalized Permutohedra

Authors: Castillo, Federico and Liu, Fu

There are few general results about the coefficients of Ehrhart polynomials. We present a conjecture about their positivity for a certain family of polytopes known as generalized permutohedra. We have verified the conjecture for small dimensions combining perturbation methods with a new valuation on the algebra of rational pointed polyhedral cones constructed by Berline and Vergne.


Source : oai:HAL:hal-01337767v1
Volume: DMTCS Proceedings, 27th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2015)
Section: Proceedings
Published on: January 1, 2015
Submitted on: November 21, 2016
Keywords: Ehrhart polynomials,Generalized permutohedra,Perturbations,Valuations,[INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM]


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