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Sticker DNA computer model ——PartⅡ: Application
作者姓名:XUJin  LISanping  DONGYafei  WEIXiaopeng
作者单位:[1]InstituteofMoleculeComputing,DepartmentofControlScienceandEngineering,HuazhongUniversity,Wuhan430074,China [2]CollegeofMathematicsandInformation,ShanxiNormalUniversity,Xi′an710062,China [3]ModeAdvancedDesignTechnologyCentre,DalianUniversity,Da-lian116622,China
摘    要:Sticker model is one of the basic models in the DNA computer models. This model is coded with sin-gle-double stranded DNA molecules. It has the following advantages that the operations require no strands extension and use no enzymes; What抯 more, the materials are reusable. Therefore, it arouses attention and interest of scientists in many fields. In this paper, we extend and improve the sticker model, which will be definitely beneficial to the construction of DNA computer. This paper is the second part of our series paper, which mainly focuses on the application of sticker model. It mainly consists of the following three sections: the matrix representation of sticker model is first presented; then a brief review of the past research on graph and com-binatorial optimization, such as the minimal set covering problem, the vertex covering problem, Hamiltonian path or cycle problem, the maximal clique problem, the maximal independent problem and the Steiner spanning tree problem, is described; Finally a DNA algorithm for the graph iso-morphic problem based on the sticker model is given.

关 键 词:DNA计算机模型  组合优化  k位粘连模型  矩阵表示    同构
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