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Solve the Clique Cover problem.
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falk-hueffner/clique-cover
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ecc version 1.1.2 ----------------- This is the source code accompanying the paper Jens Gramm, Jiong Guo, Falk Hüffner, and Rolf Niedermeier: Data reduction and exact algorithms for Clique Cover. ACM Journal of Experimental Algorithmics, 13, Article 2.2, 15 pages, 2008. https://dx.doi.org/10.1145/1412228.1412236 http://hueffner.de/falk/clique-cover-jea07.pdf Its purpose is to solve the Clique Cover problem, that is, to find a minimum set of cliques in a graph such that every edge is covered by at least one clique. The program is written in Objective Caml and should be portable to any supported system that provides the "Unix" module (only required for timings). The current version can be obtained at https://github.com/falk-hueffner/clique-cover. It is distributed under the terms of the GNU General Public License (GPL, see COPYING). It has been tested on: * Ubuntu GNU/Linux (amd64) 18.04.5 with Objective Caml 4.05.0 If you have the "make" utility (as any Unix system has), you can compile with "make". The program is called "ecc". By default, it reads a graph from standard input and writes the cliques found to standard output. The graph format is a simple text format, where each line describes one edge, given by its two endpoints separated by whitespace: v0 v1 v1 v2 v2 v0 v1 v3 Vertex names can be any combination of letters, digits, and _. Lines starting with '#' are treated as comments. Note that this graph format cannot describe degree-0 vertices; however, they are irrelevant for covering cliques anyway. The output is a set of cliques covering every edge of the graph. Each line describes one clique by listing its vertices. Example: $ ./ecc < example.graph v0 v1 v2 v1 v3 There are many options that affect program behavior; see ./ecc --help for a listing. Version history --------------- 1.0 initial release 1.1 minor changes 1.1.1 compile fix 1.1.2 URL updates -- Falk Hüffner (http://hueffner.de/falk/) 9 August 2021
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