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Re: [igraph] the algorithm(s) used for maximum clique


From: Tamas Nepusz
Subject: Re: [igraph] the algorithm(s) used for maximum clique
Date: Fri, 12 Oct 2007 12:08:14 +0200

Dear Sinan,

The maximal clique finding functions simply search for maximal
independent vertex sets in the complementer graph. The maximal
independent vertex sets are determined by the algorithm published in:

S. Tsukiyama, M. Ide, H. Ariyoshi and I. Shirawaka. A new algorithm
for generating all the maximal independent sets. SIAM J Computing,
6:505--517, 1977.

The original implementation was written by Kevin O'Neill and modified
by K M Briggs in the Very Nauty Graph Library
(http://keithbriggs.info/very_nauty.html). I simply re-wrote it to use
igraph's data structures.

-- 
Tamas




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