GeoSteiner

Software for Computing Steiner Trees

The GeoSteiner package solves the following NP-hard problems:

Euclidean Steiner Tree Problem in the Plane
Rectilinear Steiner Tree Problem in the Plane
Uniformly Oriented Steiner Tree Problem in the Plane
Minimum Spanning Tree Problem in Hypergraphs

The code is written in ANSI C and requires no supplementary software or libraries. The code makes heavy use of linear programming (LP); the public domain LP-solver lp_solve is included (in a significantly modified form). However, the package also supports CPLEX, a proprietary product of the ILOG division of IBM Inc., which is one of the fastest and most robust LP-solver available.

Would you like to see a large Steiner tree? Here is the optimal solution for the 10000 point Euclidean instance in the OR-Library .

Authors

: David Warme, Group W, Inc., Virginia, USA
: Pawel Winter, University of Copenhagen, Denmark
: Martin Zachariasen, University of the Faroe Islands, Faroe Islands

Download

GeoSteiner 5.3

Unpack the downloaded (gzip'ed tar) file by using the command

gtar xzvf geosteiner-5.3.tar.gz

or by using the sequence of commands

gunzip geosteiner-5.3.tar.gz
tar xvf geosteiner-5.3.tar

Please read the LICENSE, README and INSTALL files carefully (in the given order).

Manual for latest version: geosteiner-5.3-manual.pdf

Previous versions: GeoSteiner 5.2 GeoSteiner 5.1 GeoSteiner 5.0.1 GeoSteiner 5.0 (GeoSteiner 4.0 was a commercial product.) GeoSteiner 3.1 GeoSteiner 3.0

Steiner tree problem instances: Problem Instances.

Relevant Publications

Warme, D.M. Spanning Trees in Hypergraphs with Applications to Steiner Trees
Ph.D. Thesis, Computer Science Dept., The University of Virginia, 1998.

Winter, P. and Zachariasen, M. Euclidean Steiner Minimum Trees: An Improved Exact Algorithm
Networks 30, 149-166, 1997.

Zachariasen, M. Rectilinear Full Steiner Tree Generation
Networks 33, 125-143, 1999.

Warme, D. M., Winter, P. and Zachariasen, M. Exact Algorithms for Plane Steiner Tree Problems: A Computational Study
In D.Z. Du, J.M. Smith and J.H. Rubinstein (Eds.) Advances in Steiner Trees, pages 81-116,
Kluwer Academic Publishers, 2000.

Juhl, D., Warme, D. M., Winter, P. and Zachariasen, M.
The GeoSteiner Software Package for Computing Steiner Trees in the Plane: An Updated Computational Study
Mathematical Programming Computation, 10, 487-532, 2018.

Brazil, M. and Zachariasen, M. Optimal Interconnection Trees in the Plane: Theory, Algorithms and Applications
Springer, 2015.

http://www.geosteiner.com/

webmaster@geosteiner.com, June 10, 2023