Monte Carlo Clique Search

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The Mathematica package Combinatorica can find maximum cliques in graphs; however it is very slow because the MaximumClique function performs an exhaustive search. Randomization with a Monte Carlo method accelerates the process at the cost of losing the guarantee that the solution is optimal.
Contributed by: Michael Sollami (April 2010)
Open content licensed under CC BY-NC-SA
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"Monte Carlo Clique Search"
http://demonstrations.wolfram.com/MonteCarloCliqueSearch/
Wolfram Demonstrations Project
Published: April 27 2010