Convex hull calculations: a Matlab implementation and correctness proofs for the lrs-algorithm

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.