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math.CO2008★ 1 cited
Polytopal complexes: maps, chain complexes and... necklaces
Frédéric Meunier
The notion of polytopal map between two polytopal complexes is defined. Surprisingly, this definition is quite simple and extends naturally those of simplicial and cubical maps. It…
math.CO2008★ 12 cited
Carathéodory, Helly and the others in the max-plus world
Stéphane Gaubert, Frédéric Meunier
Carathéodory's, Helly's and Radon's theorems are three basic results in discrete geometry. Their max-plus counterparts have been proved by various authors. In this paper, more adva…