Hardness and Methods to Solve CLIQUE
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Abstract
The paper briefly reviews NP-hard optimization problems and theirinapproximability. The hardness of solving CLIQUE problem isspecifically discussed. A dynamic-programming algorithm and its improvedversion for CLIQUE are reviewed and some additional analysis ispresented. The analysis implies that the improved algorithm, HEWN(hierarchical edge-weighted network),only provides a heuristic or useful method, but cannot be called apolynomial algorithm.
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