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Top : Science : Math : Combinatorics : Software (85 web sites)
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Science: Math: Software
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ACE
An Algebraic Combinatorics Environment for MAPLE providing functions to work with classical structures in algebraic combinatorics. Free download.
http://phalanstere.univ-mlv.fr/~ace/ACE/3.0/ACE.html

Algorithms and Software for Partitioning Meshes
Using combinatorics to solve structured linear systems of equations.
http://www.cs.sandia.gov/CRF/chac.html

Combinatorics Software of the Algorithms Project
Combinatorial analysis, discrete mathematics and computer algebra are the main interests of the Algorithms Projects. The packages let you define combinatorial structures; manipulate the associated generating functions, functional equations or recurrences; study their asymptotic behaviour.
http://algo.inria.fr/libraries/software.html

GRAPE
A GAP package for computing with graphs; primarily designed for the efficient construction and analysis of graphs related to groups, combinatorial designs and finite geometries.
http://www.maths.qmul.ac.uk/~leonard/grape/

Gato: The Graph Animation Toolbox
Software for visualizing graph algorithms. Free under GPL. Unix, Linux, MacOs and Windows versions.
http://gato.sourceforge.net/

GeoSteiner
Software for computing Steiner trees. Written in ANSI C, includes the public domain LP-solver lp_solve.
http://www.diku.dk/hjemmesider/ansatte/martinz/geosteiner/

Graph Coloring By DSATUR
By using the DSATUR algorithm, this php/form colors any graph in the Dimacs format.
http://prolland.free.fr/works/research/dsatphp/dsat.html

Graph Magics
A tool for graph theory, having a generator and offering various algorithms: shortest paths, network flows, maximal clique, optimal coloring etc.
http://www.graph-magics.com/

Graph Partitioners
Three algorithms written in NESL for finding separators of graphs, in order to compare the quality of the cuts.
http://www.cs.cmu.edu/~scandal/alg/separator.html

GraphThing
Tool for investigating Graph Theory, with a GTK interface. Free under GPL. Unix, source code in C++.
http://graph.seul.org/

Information-Theoretic GraphIsomorphism Algorithm
Provides a fast graphisomorphism algorithm written in object-oriented Java using the popular yfiles graph library. The ITGI algorithm can be freely downloaded.
http://www.itgi-algorithm.de/

LINK: A Software System for Discrete Mathematics
A general-purpose, extendible computing environment in which discrete mathematical objects representing real world problems can be easily manipulated and visualized.
http://dimacs.rutgers.edu/~berryj/LINK.html

METIS: Family of Multilevel Partitioning Algorithms
Graph, mesh, and hypergraph partitioning software.
http://glaros.dtc.umn.edu/gkhome/views/metis/

Nauty
A program for computing automorphism groups of graphs and digraphs. It can also produce a canonical labelling.
http://cs.anu.edu.au/~bdm/nauty/

NetworkX
NetworkX (NX) is a Python package for the creation, manipulation, and study of the structure, dynamics, and functions of complex networks.
http://networkx.github.io/

SCL - Star Complement Library
A program for computing the maximal graphs using the star complement technique including programs for computing the maximal cliques and the isomorphism classes of graphs.
http://www.math.rs/~zstanic/scl.htm

SF, Posets and Coxeter/Weyl
John Stembridge's Maple packages for symmetric functions, posets, root systems, and finite Coxeter groups.
http://www.math.lsa.umich.edu/~jrs/maple.html

graph-utils
A set of small utilities realizing theoretical graph algorithms (including tree algorithms). The utilities work with simple text input/output formats.
http://graph-utils.sourceforge.net/

plantri and fullgen
Programs for generation of certain types of planar graph, generated in such a way that exactly one member of each isomorphism class is output without the need for storing them.
http://cs.anu.edu.au/people/bdm/plantri/