Abstract
In this paper, we consider parallelizability of some P-complete problems. First we propose a parameter which indicates parallelizability for a convex layers problem. We prove P-completeness of the problem and propose a cost optimal parallel algorithm, according to the parameter. Second we consider a lexicographically first maximal 3 sums problem. We prove P-completeness of the problem by reducing a lexicographically first maximal independent set problem, and propose two cost optimal parallel algorithms for related problems. The above results show that some P-complete problems have efficient cost optimal parallel algorithms.
Research supported in part by the Scientific Research Grant-in-Aid from Ministry of Education, Science, Sports and Culture of Japan (Scientific research of Priority Areas(B)10205218)
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Fujiwara, A., Inoue, M., Masuzawa, T. (2000). Parallelizability of some P-complete problems. In: Rolim, J. (eds) Parallel and Distributed Processing. IPDPS 2000. Lecture Notes in Computer Science, vol 1800. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45591-4_14
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DOI: https://doi.org/10.1007/3-540-45591-4_14
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