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Physical Sciences and Mathematics Commons

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Discrete Mathematics and Combinatorics

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2007

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Full-Text Articles in Physical Sciences and Mathematics

Towards The Computation Of The Convex Hull Of A Configuration From Its Corresponding Separating Matrix, Elie Feder, David Garber Jan 2007

Towards The Computation Of The Convex Hull Of A Configuration From Its Corresponding Separating Matrix, Elie Feder, David Garber

Publications and Research

In this paper we cope with the following problem compute the size of the convex hull of a configuration C where the given data is the number of separating lines between any two points of the configuration (where the lines are generated by pairs of other points of the configuration)

We give an algorithm for the case that the convex hull is of size 3 and a partial algorithm and some directions for the case that the convex hull is of size bigger than 3.