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Randomized Algorithm For 3-Set Splitting Problem and it's Markovian Model | ||
Journal of Algorithms and Computation | ||
مقاله 8، دوره 47، شماره 1، شهریور 2016، صفحه 79-92 اصل مقاله (392.76 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22059/jac.2016.7944 | ||
نویسندگان | ||
Mahdi Heidari* 1؛ Ali Golshani1؛ D. Moazzami2؛ Ali Moeini2 | ||
1Department of Algorithms and Computation, University of Tehran | ||
2University of Tehran, College of Engineering, Faculty of Enginering Science | ||
چکیده | ||
In this paper we restrict every set splitting problem to the special case in which every set has just three elements. This restricted version is also NP-complete. Then, we introduce a general conversion from any set splitting problem to 3-set splitting. Then we introduce a randomize algorithm, and we use Markov chain model for run time complexity analysis of this algorithm. In the last section of this paper we introduce "Fast Split" algorithm. | ||
کلیدواژهها | ||
NP-complete problem؛ set splitting problem؛ SAT problem؛ Markov chain | ||
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