Solving Vertex Cover Problem by Tissue P Systems with Cell Division

Solving Vertex Cover Problem by Tissue P Systems with Cell Division
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通过细胞分裂的组织 P 系统解决顶点覆盖问题

DOI:
10.12785/amis/080141
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发表时间:
2014
期刊:
Appl. Math
影响因子:
--
通讯作者:
Tao Song, Hongjiang Zheng, Juanjuan He
Tao Song, Hongjiang Zheng, Juanjuan He
中科院分区:
其他
文献类型:
--
作者:
Tao Song, Hongjiang Zheng, Juanjuan He

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组织P系统是在膜计算中研究的一类分布式并行计算模型,它的灵感来自于组织中通信细胞的结构和功能。这类具有细胞分裂(对应于活细胞的有丝分裂行为)的系统理论上可以在线性时间内产生指数工作空间,从而提供了一种可能的方法,通过时空权衡在可行时间内解决计算难题。本文构造了一族带细胞分裂的组织P系统来求解顶点覆盖问题,并得到了线性时间解(关于问题的大小).此外,我们证明了系统是以统一的方式构造的,并以融合的方式工作。
Tissue P systems are a class of distributed and parallel computing models investigated in membrane computing, which are inspired from the structure and functioning of communication cells in tissues . Such systems with cell division (corresponding to the mitosis behavior of living cells) can theoretically generate exponential wor king space in linear time, therefore providing a possible way to solve computational hard problems in feasible time by a space-time trade-off. In this work, we construct a family of tissue P systems with cell division to solve the vertex cover problems, and achieve a linear tim e solution (with respect to the size of the problems). Furthermore, we prove that the systems are constructed in a uniform manner and work in a confluent way.
DOI: 10.1016/j.tcs.2008.12.055
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