Abstract
In this paper we introduce a new method for speeding up parallel run times of discrete optimization problems which can be used for different problems. We propose that the variant of the Monte Carlo method, the Las Vegas method can be used for overcoming some special barriers that can occur in the course of dividing such problems. Especially the problem of maximum clique and k-clique is examined, and the new algorithm with the relevant measurements is presented.
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Acknowledgments
We would like to thank the HPC Europe grant for the fruitful visit to Helsinki, to the Finish Computer Science Center which hosts the supercomputer Sisu on which the computations were performed. (https://research.csc.fi/sisu-supercomputer)
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Zavalnij, B. (2015). Speeding up Parallel Combinatorial Optimization Algorithms with Las Vegas Method. In: Lirkov, I., Margenov, S., Waśniewski, J. (eds) Large-Scale Scientific Computing. LSSC 2015. Lecture Notes in Computer Science(), vol 9374. Springer, Cham. https://doi.org/10.1007/978-3-319-26520-9_28
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DOI: https://doi.org/10.1007/978-3-319-26520-9_28
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