K-set Polygons and Centroid Triangulations

This thesis is a contribution to a classical problem in computational and combinatorial geometry: the study of the k-sets of a set V of n points in the plane. First we introduce the notion of convex inclusion chain that is an ordering of the points of V such that no point is inside the convex hull o...

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Bibliographic Details
Main Author: El Oraiby, Wael
Language:ENG
Published: Université de Haute Alsace - Mulhouse 2009
Subjects:
Online Access:http://tel.archives-ouvertes.fr/tel-00871192
http://tel.archives-ouvertes.fr/docs/00/87/11/92/PDF/2009MULH2962_these_ELORAIBY.pdf