Federico Castillo ; Fu Liu
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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)
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https://doi.org/10.46298/dmtcs.2505
Ehrhart Positivity for Generalized Permutohedra
Authors: Federico Castillo 1; Fu Liu 1
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Federico Castillo;Fu Liu
1 University of California [Davis]
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.
Volumes, Ehrhart polynomials and valuations of polytopes; Funder: National Science Foundation; Code: 1265702
1 Document citing this article
Source : OpenCitations
Liu, Fu; Solus, Liam, 2019, On The Relationship Between Ehrhart Unimodality And Ehrhart Positivity, Annals Of Combinatorics, 23, 2, pp. 347-365, 10.1007/s00026-019-00429-8.