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This category is concerned with:
  • application software dealing with combinatorial problems in a scientific scope.
  • libraries of combinatorial algorithms which reflect the actual scientific state of the art.
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GOBLIN Graph Library - C++ library of graph optimization algorithms with a GUI for editing, running and tracing the algorithms. Graph Magics - A tool for graph theory, having a generator and offering various algorithms: shortest paths, network flows, maximal clique, optimal coloring etc. Nauty - A program for computing automorphism groups of graphs and digraphs. It can also produce a canonical labelling. 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. Algorithms and Software for Partitioning Meshes - Using combinatorics to solve structured linear systems of equations. SF, Posets and Coxeter/Weyl - John Stembridge's Maple packages for symmetric functions, posets, root systems, and finite Coxeter groups. 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. GraphThing - Tool for investigating Graph Theory, with a GTK interface. Free under GPL. Unix, source code in C++. 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. Graph Coloring By DSATUR - By using the DSATUR algorithm, this php/form colors any graph in the Dimacs format. 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. ACE - An Algebraic Combinatorics Environment for MAPLE providing functions to work with classical structures in algebraic combinatorics. Free download. 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. 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. 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. 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. METIS: Family of Multilevel Partitioning Algorithms - Graph, mesh, and hypergraph partitioning software. JGraphT - Free Java class library that provides mathematical graph-theory objects and algorithms. NetworkX - NetworkX (NX) is a Python package for the creation, manipulation, and study of the structure, dynamics, and functions of complex networks.
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