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An Unenumerative DNA Computing Model for Vertex Coloring Problem

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8 Author(s)
Jin Xu ; Key Lab. of High Confidence Software Technol. of Minist. of Educ., Peking Univ., Beijing, China ; Xiaoli Qiang ; Yan Yang ; Baoju Wang
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The solution space exponential explosion caused by the enumeration of the candidate solutions maybe is the biggest obstacle in DNA computing. In the paper, a new unenumerative DNA computing model for graph vertex coloring problem is presented based on two techniques: 1) ordering the vertex sequence for a given graph in such a way that any two consecutive labeled vertices i and i+1 should be adjacent in the graph as much as possible; 2) reducing the number of encodings representing colors according to the construture of the given graph. A graph with 12 vertices without triangles is solved and its initial solution space includes only 283 DNA strands, which is 0.0532 of 312 (the worst complexity).

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NanoBioscience, IEEE Transactions on  (Volume:10 ,  Issue: 2 )