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Logic Programming with Max-Clique and its Application to Graph Coloring (Tool Description)

Authors Michael Codish, Michael Frank, Amit Metodi, Morad Muslimany

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Michael Codish
Michael Frank
Amit Metodi
Morad Muslimany

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Michael Codish, Michael Frank, Amit Metodi, and Morad Muslimany. Logic Programming with Max-Clique and its Application to Graph Coloring (Tool Description). In Technical Communications of the 33rd International Conference on Logic Programming (ICLP 2017). Open Access Series in Informatics (OASIcs), Volume 58, pp. 5:1-5:18, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2018) https://doi.org/10.4230/OASIcs.ICLP.2017.5

Abstract

This paper presents pl-cliquer, a Prolog interface to the
 cliquer tool for the maximum clique problem.

   Using pl-cliquer facilitates a programming style that allows logic programs to integrate with other tools such as: Boolean
   satisfiability solvers, finite domain constraint solvers, and graph isomorphism tools.

   We illustrate this programming style to solve the Graph Coloring problem, applying a symmetry break that derives from finding a maximum clique in the input graph.

   We present an experimentation of the resulting Graph Coloring solver on two benchmarks, one from the graph coloring community and the other from the examination timetabling community. 

   The implementation of pl-cliquer consists of two components: A lightweight C interface, connecting cliquer's C library and
   Prolog, and a Prolog module which loads the library.
   The complete tool is available as a SWI-Prolog module.

Subject Classification

Keywords
  • Logic Programming
  • Constraints
  • Maximum Clique

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