lrs : A Revised Implementation of the Rev rse Search Vertex Enumeration Algorithm

  title={lrs : A Revised Implementation of the Rev rse Search Vertex Enumeration Algorithm},
  author={David Avis},
This paper describes an impro ved implementation of the re v rse search v ertex enumeration/con vex hull algorithm ford-dimensional con vex polyhedra. The implementation uses a lexicographic ratio test to resolv degeneracy, works on bounded or unbounded polyhedra and uses e xact arithmetic with all integer pi voting. It can also be used to compute the volume of the con vex hull of a set of points. For a polyhedron withm inequalities ind variables and known e xtreme point, it finds all bases in… CONTINUE READING
Highly Influential
This paper has highly influenced 14 other papers. REVIEW HIGHLY INFLUENTIAL CITATIONS


Publications citing this paper.
Showing 1-10 of 92 extracted citations

Planar Projection of Polytopes using Hough Transforms

2018 IEEE International Conference on Electronics, Computing and Communication Technologies (CONECCT) • 2018
View 9 Excerpts
Highly Influenced

Game Theory Explorer - Software for the Applied Game Theorist

Comput. Manag. Science • 2015
View 5 Excerpts
Highly Influenced

Mutual Exclusion by Interpolation

FLOPS • 2012
View 5 Excerpts
Highly Influenced

Equilibrium Computation for Extensive Games

View 10 Excerpts
Highly Influenced

Computing Equilibria in Bimatrix Games by Parallel Vertex Enumeration

2009 International Conference on Parallel Processing • 2009
View 4 Excerpts
Highly Influenced

Geometry of possibility measures on finite sets

Int. J. Approx. Reasoning • 2008
View 5 Excerpts
Highly Influenced

Beneath-and-Beyond Revisited

Algebra, Geometry, and Software Systems • 2003
View 6 Excerpts
Highly Influenced


Publications referenced by this paper.
Showing 1-10 of 14 references


D. Bremner
Fukuda, and A. Marzetta, ‘‘Primal-Dual Methods of V ertex and Facet Enumeration, ’’ Discrete and Computational Geometry , vol. 20, pp. 333-358, June • 1997
View 5 Excerpts
Highly Influenced

and R

D. Avis, D. Bremner
Seidel, ‘ ‘How Good are Con vex Hull Algorithms?, ’’ Computational Geometry: Theory and Applications , vol. 7, pp. 265-301, • 1997
View 2 Excerpts

Note sur les Q-matrices d’Edmonds, ’

J.Edmonds, J.-F . Maurras
Recher che Opérationelle (RAIRO) , • 1997
View 2 Excerpts

and M

M. Bussiec
Luebbecke, ‘ ‘The Vertex Set of a 0/1-Polytope is Strongly PEnumerable, ’’ ISMP ’97, Lausanne, August • 1997
View 1 Excerpt

ungger, A

A. Br
Marzetta, K. Fukuda, and J. Nie vergelt, The Parallel Sear ch Bench ZRAM and its Applications , • 1997
View 2 Excerpts

Reverse Search for Enumeration

Discrete Applied Mathematics • 1996
View 1 Excerpt

A C Implementation of the Rev rse Search Vertex Enumeration Algorithm

D. Avis, P. Bose
Estimating the Number of Vertices of a Polyhedron , ’ ’ i n Snapshots of Computational and Discrete Geometry • 1994

‘A C Implementation of the Re v rse Search V ertex Enumeration Algorithm, ’’ i n RIMS Kokyuroku 872, ed

D. Avis
H. Imai, Kyoto University, May • 1994
View 2 Excerpts

Similar Papers

Loading similar papers…