Algorithm 457 Finding All Cliques of an Undirected Graph [H] Coen Bron* and Joep Kerboscht [ R e c d . 27 A p r i l 1971 a n d 23 A u g u s t 1971] * Department of Mathematics t Department of Industrial Engineering, Technological University Eindh o v e n , P . O . B o x 513, E i n d h o v e n , T h e N e t h e r l a n d s Present address of C. Bron: Department of Electrical Engineering, Twente University of Technology, P.O. Box 217, Enschade, The Netherlands. removing all points not connected to the selected candidate (to remain consistent with the definition), keeping the old sets in tact. Step 4. Calling the extension operator to operate on the sets just formed. Step 5. Upon return, removal of the selected candidate from compsub and its addition to the old set not. We will now motivate the extra labor involved in maintaining the sets not. A necessary condition for having created a clique is that the set candidates be empty; otherwise compsub could still be extended. This condition, however, is
Communications of the ACM – Association for Computing Machinery
Published: Sep 1, 1973
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