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Convex Hull Calculations: a Matlab Implementation and Correctness Proofs for the lrs-Algorithm (1604.06112v1)
Published 20 Apr 2016 in cs.MS
Abstract: This paper provides full \Matlab-code and informal correctness proofs for the lexicographic reverse search algorithm for convex hull calculations. The implementation was tested on a 1993 486-PC for various small and some larger, partially highly degenerate combinatorial polytopes, one of which (a certain 13-dimensional 24 vertex polyhedron) occurs naturally in the study of a well known problem posed by Professor Graciano de Oliveira: see end of section 1.