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Fast Exponential-Time Algorithms to solve NP-complete ... - Lita

Fast Exponential-Time Algorithms to solve NP-complete ... - Lita

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1/52<strong>Fast</strong> <strong>Exponential</strong>-<strong>Time</strong> <strong>Algorithms</strong>BranchingThe Algorithm of Fomin et al.The Maximum Independent Set Algorithm of Fomin et al.Maximum Independent Setsimple Branch & Reduce algorithmrunning time O(1.2202 n )polynomial spacetime analysis based on Measure and Conquerlower bound of Ω(1.1224 n ) for the (unknown) worst caserunning time of the algorithmthe (known) running time of such Branch & Reduce algorithmmight be “far” from the (unknown) worst case running time of thealgorithm

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