Asynchronous SN P Systems for Sorting

Asynchronous SN P Systems for Sorting
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DOI:
10.1109/icnc.2012.41
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发表时间:
2012-12
期刊:
2012 Third International Conference on Networking and Computing
影响因子:
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通讯作者:
Shunsuke Aoki;A. Fujiwara
Shunsuke Aoki;A. Fujiwara
中科院分区:
其他
文献类型:
--
作者:
Shunsuke Aoki;A. Fujiwara

文献摘要

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We propose two kinds of asynchronous SN P systems for sorting. We first propose an anynchronous SN P system that works as a comparator, which sorts two binary numbers of m bits. The SN P systems work in O(m) sequential steps or O(log m) parallel steps using O(m) neurons. We next propose an asynchronous SN P system that simulates a sorting network, which sorts n binary numbers of m bits using the above comparator. The SN P system works in O(mn log n) sequential steps or O(log m log n) parallel steps using O(mn log n) neurons. Finally, we propose another SN P system that sorts n binary numbers of m bits. The SN P system is based on a round robin tournament, and works in O(mn2) sequential steps or O(log m) parallel steps using O(mn2) neurons.