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Mathprog
Codes for Polytope and Polyhedron Problems
CDD
K. Fukuda's code for generating all vertices and extreme rays of a general
convex polyhedron, based on the Double Description method of Motzkin et al.
dda.tar.Z
Double Description Algorithm for calculating a basis of the lineality space and
the extreme rays of a polyhedral cone, see E. Burger, Über homogene lineare
Ungleichungssysteme, Zeitschrift für Angewandte Mathematik und Mechanik
26 (1956), 135-139, and modified by Padberg, see M. Padberg, Linear
Programming: Lecture Notes, New York University, New York, April 1993.
- readme - Information on source files and producing executable by authors
D. Alevras, G. Cramer, M. Padberg
lrs
Code for generating all vertices of a polytope based on the reverse search
algorithm of Avis / Fukuda
Poly FAQ
Summary (basic definitions, properties, and problems) on polyhedra,
polytopes, Voronoi diagrams and Delauny triangulations cast into a
Frequently Asked Questions Web page, by K Fukuda
PolyLib
Library of polyhedral functions providing code for solving systems of mixed
linear inequalities and equations based on the Chernikova algorithm, see
N.V. Chernikova, Algorithm for Finding a General Formula for the Non-
Negative Solutions of a System of Linear Inequalities, USSR Computational
Mathematics and Mathematical Physics 5(2) (1965), 228-233, first
implementation by D. Wilde (IRISA / Université de Rennes I)
Polymake
Tool for the algorithmic treatment of polytopes and polyhedra and finite
simplicial complexes by E. Gawrilow and M. Joswig (Technische Universität
Berlin)
PORTA
Collection of routines for analyzing polytopes and polyhedra represented
as a system of linear equations and inequalities or by a set of points and
vectors and transformation of one representation into the other, by
T. Christof (Universität Heidelberg) and A. Löbel (ZIB)
TOPCOM
Package for computing triangulations of point configurations and oriented
matroids by J. Rambau (ZIB).
Vclip
Collision detection library providing a C++ implementation of the Voronoi
Clip collision detection algorithm for polyhedral objects by B. Mirtich
Zerone
Vertex enumeration code for 0/1 polytopes by M.R. Bussieck and
M.E. Lübbecke
Qhull
Program package for computing convex hulls, Delauny triangulations,
Voronoi diagrams, halfspace intersections about a point, furthest-site
Delaunay triangulations, and furthest-site Voronoi diagrams, by
C.B. Barber and H.T. Huhdanpaa
