- The LEDA Library
- A library of the data types and algorithms of combinatorial computing.
- ACE - An Algebraic Combinatorics Environment for MAPLE providing functions to work with classical structures in algebraic combinatorics. Free download.
- Algorithms and Software for Partitioning Meshes - Using combinatorics to solve structured linear systems of equations.
- 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.
- Gato: The Graph Animation Toolbox - Software for visualizing graph algorithms. Free under GPL. Unix, Linux, MacOs and Windows versions.
- GeoSteiner - Software for computing Steiner trees. Written in ANSI C, includes the public domain LP-solver lp_solve.
- GOBLIN Graph Library - C++ library of graph optimization algorithms with a GUI for editing, running and tracing the algorithms.
- 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.
- Graph Coloring By DSATUR - By using the DSATUR algorithm, this php/form colors any graph in the Dimacs format.
- Graph Magics - A tool for graph theory, having a generator and offering various algorithms: shortest paths, network flows, maximal clique, optimal coloring etc.
- Graph Partitioners - Three algorithms written in NESL for finding separators of graphs, in order to compare the quality of the cuts.
- graph-utils - A set of small utilities realizing theoretical graph algorithms (including tree algorithms). The utilities work with simple text input/output formats.
- GraphThing - Tool for investigating Graph Theory, with a GTK interface. Free under GPL. Unix, source code in C++.
- Information System on Graph Class Inclusions - A java applet for researching what is known about particular graph classes.
- 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.
- JGraphT - Free Java class library that provides mathematical graph-theory objects and algorithms.
- 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.
- METIS: Family of Multilevel Partitioning Algorithms - Graph, mesh, and hypergraph partitioning software.
- Nauty - A program for computing automorphism groups of graphs and digraphs. It can also produce a canonical labelling.
- NetworkX - NetworkX (NX) is a Python package for the creation, manipulation, and study of the structure, dynamics, and functions of complex networks.
- 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.
- 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.
- SF, Posets and Coxeter/Weyl - John Stembridge's Maple packages for symmetric functions, posets, root systems, and finite Coxeter groups.
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