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Graph theory methods for decomposition w.r.t. outputs of Boolean control networks

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Abstract

This paper focuses graph theory method for the problem of decomposition w.r.t. outputs for Boolean control networks (BCNs). First, by resorting to the semi-tensor product of matrices and the matrix expression of BCNs, the definition of decomposition w.r.t. outputs is introduced. Second, by referring to the graphical structure of BCNs, a necessary and sufficient condition for the decomposition w.r.t. outputs is obtained based on graph theory method. Third, an effective algorithm to realize the maximum decomposition w.r.t. outputs is proposed. Finally, some examples are addressed to validate the theoretical results.

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Authors and Affiliations

  1. College of Mathematical Sciences, Yangzhou University, Yangzhou, 225009, China

    Yunlei Zou

  2. Institute of Mathematics, School of Mathematical Sciences, Nanjing Normal University, Nanjing, 210023, China

    Jiandong Zhu

Authors
  1. Yunlei Zou
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  2. Jiandong Zhu
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Correspondence to Jiandong Zhu.

Additional information

This research was supported in part by the National Natural Science Foundation of China under Grant Nos. 61673012, 11271194, and a Project on the Priority Academic Program Development of Jiangsu Higher Education Institutions (PAPD).

This paper was recommended for publication by Editor HONG Yiguang.

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Zou, Y., Zhu, J. Graph theory methods for decomposition w.r.t. outputs of Boolean control networks. J Syst Sci Complex 30, 519–534 (2017). https://doi.org/10.1007/s11424-016-5131-3

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  • DOI: https://doi.org/10.1007/s11424-016-5131-3

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