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Tropicalization of facets of polytopes
(Elsevier Science Inc, 2017-06)
It is known that any tropical polytope is the image under the valuation map of ordinary polytopes over the Puiseux series field. The latter polytopes are called lifts of the tropical polytope. We prove that any pure tropical ...
Poincare-Hopf inequalities
(Amer Mathematical SocProvidenceEUA, 2005)
Some results on centers of polytopes
(Taylor & Francis LtdAbingdonInglaterra, 2005)
A relation between number of integral points, volumes of faces and degree of the discriminant of smooth lattice polytopesUne relation entre nombre de points entiers, volumes des faces et degré du discriminant des polytopes entiers non singuliers
(Elsevier Masson, 2012-03)
We present a formula for the degree of the discriminant of a smooth projective toric variety associated to a lattice polytope P, in terms of the number of integral points in the interior of dilates of faces of dimension ...
Relações estético-estruturais entre música e arquitetura: Polytopes : uma análise sobre a obra multimídia de Iannis Xenakis
(Universidade Estadual Paulista (UNESP), 2014)
Efficient implementation of Carathéodory’s theorem for the single machine scheduling polytope
(Elsevier, 2016)
In a fundamental paper in polyhedral combinatorics, Queyranne describes the complete facial structure of a classical object in combinatorial optimization, the single machine scheduling polytope. In the same paper, he answers ...
The edge-weighted clique problem: Valid inequalities, facets and polyhedral computations
(Elsevier Science BvAmsterdamHolanda, 2000)
Relações estético-estruturais entre música e arquitetura: Polytopes : uma análise sobre a obra multimídia de Iannis Xenakis
(Universidade Estadual Paulista (UNESP), 2008-08-29)
Este trabalho aborda as relações interdisciplinares entre música e arquitectura nas obras multimídia de Iannis Xenakis, denominadas Polytopes. O texto analisa os principais procedimentos composicionais utilizados na ...
The perfect matching polytope and solid bricks
(Academic Press Inc Elsevier ScienceSan DiegoEUA, 2004)
Lift-and-project ranks of the stable set polytope of joined a-perfect graphs
(Elsevier Science, 2016-09)
In this paper we study lift-and-project polyhedral operators defined by Lovász and Schrijver and Balas, Ceria and Cornuéjols on the clique relaxation of the stable set polytope of webs. We compute the disjunctive rank of ...