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Implementation of Massive Parallel Networks of Evolutionary Processors (MPNEP): 3-Colorability Problem

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Nature Inspired Cooperative Strategies for Optimization (NICSO 2007)

Part of the book series: Studies in Computational Intelligence ((SCI,volume 129))

Abstract

This paper presents a new dynamic in Networks of Evolutionary Processors (NEP) – Massive Parallel NEP. Processors in a MPNEP have not a two stage behavior: evolution and then, communication; both steps are in parallel. Such situation give processors the benefit of communicating objects without rule application. MPNEP could be considered a superset of NEP since processors in MPNEP are able to operate in a parallel way or in a sequential way. Here we pro- posed a mechanism to obtain an MPNEP equivalent to any given NEP. Therefore, MPNEP can solve NP-problems in linear time such as NEPs. This paper proof that a MPNEP solve the 3-color-ability problem in O(m + n) time and resources. A software tool has been implemented in order to test MPNEP performance and some outputs, corresponding to the 3-col problem, are shown.

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Díaz, M.A., de Mingo, L.F., Blas, N.G., Castellanos, J. (2008). Implementation of Massive Parallel Networks of Evolutionary Processors (MPNEP): 3-Colorability Problem. In: Krasnogor, N., Nicosia, G., Pavone, M., Pelta, D. (eds) Nature Inspired Cooperative Strategies for Optimization (NICSO 2007). Studies in Computational Intelligence, vol 129. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-78987-1_36

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  • DOI: https://doi.org/10.1007/978-3-540-78987-1_36

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-78986-4

  • Online ISBN: 978-3-540-78987-1

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