Browsing Departament de Matemàtica Aplicada II (fins octubre de 2015) by Subject "514"

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Matroids : h-vectors, zonotopes, and Lawrence polytopes

Dall, Aaron Matthew (Date of defense: 2015-02-25)

The main objects of study in this thesis are matroids. In particular we are interested in three particular classes matroids: regular matroids, arithmetic matroids, and internally perfect matroids. Of these families, regular ...

Neighborly and almost neighborly configurations, and their duals

Padrol Sureda, Arnau (Date of defense: 2013-03-12)

This thesis presents new applications of Gale duality to the study of polytopes with extremal combinatorial properties. It consists in two parts. The first one is devoted to the construction of neighborly polytopes and ...