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Combinatorial Game Theory (2)
Design Theory (3)
Graph Drawing (35)
Linear Programming and Optimization (38)
Matroids (3)
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  Combinatorics Software of the Algorithms Project http://algo.inria.fr/libraries/software.html
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.
  NetworkX http://networkx.lanl.gov/
NetworkX (NX) is a Python package for the creation, manipulation, and study of the structure, dynamics, and functions of complex networks.
  http://cs.anu.edu.au/~bdm/nauty/ http://cs.anu.edu.au/~bdm/nauty/
A program for computing automorphism groups of graphs and digraphs. It can also produce a canonical labelling.
  The LEDA Library http://www.mpi-sb.mpg.de/LEDA/leda.html
LEDA is a library of the data types and algorithms of combinatorial computing.
  SF, Posets and Coxeter/Weyl http://www.math.lsa.umich.edu/~jrs/maple.html
John Stembridge's Maple packages for symmetric functions, posets, root systems, and finite Coxeter groups.
  http://jgrapht.sourceforge.net http://jgrapht.sourceforge.net
Free Java class library that provides mathematical graph-theory objects and algorithms.
  http://www.maths.qmul.ac.uk/~leonard/grape/ http://www.maths.qmul.ac.uk/~leonard/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.
  LINK: A Software System for Discrete Mathematics http://dimacs.rutgers.edu/~berryj/LINK.html
A general-purpose, extendible computing environment in which discrete mathematical objects representing real world problems can be easily manipulated and visualized.
  Information System on Graph Class Inclusions http://wwwteo.informatik.uni-rostock.de/isgci/
A java applet for researching what is known about particular graph classes.
  METIS: Family of Multilevel Partitioning Algorithms http://www-users.cs.umn.edu/~karypis/metis/
Graph, mesh, and hypergraph partitioning software.
  Algorithms and Software for Partitioning Meshes http://www.cs.sandia.gov/CRF/chac.html
Using combinatorics to solve structured linear systems of equations.
  Graph Partitioners http://www.cs.cmu.edu/~scandal/alg/separator.html
Three algorithms written in NESL for finding separators of graphs, in order to compare the quality of the cuts.
  Graph Magics http://www.graph-magics.com
A tool for graph theory, having a generator and offering various algorithms: shortest paths, network flows, maximal clique, optimal coloring etc.
  GraphThing http://graph.seul.org/
Tool for investigating Graph Theory, with a GTK interface. Free under GPL. Unix, source code in C++.
  GOBLIN Graph Library http://www.math.uni-augsburg.de/opt/goblin.html
C++ library of graph optimization algorithms with a GUI for editing, running and tracing the algorithms.
  http://phalanstere.univ-mlv.fr/~ace/ACE/3.0/ACE.html http://phalanstere.univ-mlv.fr/~ace/ACE/3.0/ACE.html
An Algebraic Combinatorics Environment for MAPLE providing functions to work with classical structures in algebraic combinatorics. Free download.
  graph-utils http://graph-utils.sourceforge.net
A set of small utilities realizing theoretical graph algorithms (including tree algorithms). The utilities work with simple text input/output formats.
  Graph Coloring By DSATUR http://prolland.free.fr/works/research/dsatphp/dsat.html
By using the DSATUR algorithm, this php/form colors any graph in the Dimacs format.
  SCL - Star Complement Library http://www.math.rs/~zstanic/scl.htm
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.
  plantri and fullgen http://cs.anu.edu.au/people/bdm/plantri/
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.

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