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Parallel Algorithms for Maximal Cliques in Circle Graphs and Unrestricted Depth Search

E. N. CáceresS. W. SongJ. L. Szwarcfiter — 2010

RAIRO - Theoretical Informatics and Applications

We present parallel algorithms on the BSP/CGM model, with processors, to count and generate all the maximal cliques of a circle graph with vertices and edges. To count the number of all the maximal cliques, without actually generating them, our algorithm requires (log ) communication rounds with (/) local computation time. We also present an algorithm to generate the first maximal clique in (log ) communication rounds with (/) local computation, and to generate each one of the subsequent...

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