Fast Algorithms for the Maximum Clique Problem on Massive Sp
Source: Bharath Pattabiraman
The maximum clique problem is a well known NP-Hard problem with applications in data mining, network analysis, informatics, and many other areas. Although there exist several algorithms with acceptable runtimes for certain classes of graphs, none of them are feasible for massive graphs. We present a new exact algorithm which employs novel pruning techniques to very quickly solve for the maximum clique on large sparse graphs. Extensive experiments on several types of synthetic and real-world graphs show that our new algorithm is up to several orders of magnitude faster than existing algorithms for most instances. We also present a heuristic variant that runs orders of magnitude faster than the exact algorithm, while providing optimal or near-optimal solutions. The new algorithms, unlike existing algorithms, are also well suited for parallelization.
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