NIU Yunyun, XIAO Jianhua, JIANG Yun. Time-Free Solution to 3-Coloring Problem Using Tissue P Systems[J]. Chinese Journal of Electronics, 2016, 25(3): 407-412. doi: 10.1049/cje.2016.05.003
Citation: NIU Yunyun, XIAO Jianhua, JIANG Yun. Time-Free Solution to 3-Coloring Problem Using Tissue P Systems[J]. Chinese Journal of Electronics, 2016, 25(3): 407-412. doi: 10.1049/cje.2016.05.003

Time-Free Solution to 3-Coloring Problem Using Tissue P Systems

doi: 10.1049/cje.2016.05.003
Funds:  This work is supported by the National Natural Science Foundation of China (No.61127005, No.61373066), the Natural Science Foundation Project of CQ CSTC (No.cstc2012jjA40059), and the Science Research Fund of Chongqing Technology and Business University (No.2013-56-01).
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  • Corresponding author: XIAO Jianhua was born in 1979. He graduated from Huazhong University of Science and Technology in 2008. He is currently a lecture at Nankai University, Tianjin, China. His research interests include combinatorial optimization, Bio-inspired computation and logistics optimization. (Email: jhxiao@nankai.edu.cn)
  • Received Date: 2014-04-08
  • Rev Recd Date: 2014-06-11
  • Publish Date: 2016-05-10
  • In most of traditional P systems, each rule has the same execution time. That way of using the rules is not quite realistic from a biological point of view, because external conditions always change in an unpredicted manner such that different reaction may take different time to execute. In this work, we investigate the computation efficiency of tissue P systems by removing the restriction that each rule should complete in one time unit. The timed tissue P system is constructed by adding a time mapping to the rules to specify the execution time for each rule. A uniform and time-free solution to 3-coloring problem is proposed, where the execution time of the computational processes involved can vary arbitrarily and the output produced is always the same.
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