A Molecular Computing Model for Maximal Clique Problem Using Circular DNA Length Growth
A novel DNA computing model based on circular DNA length growth (CDLG) is developed to solve a maximal clique problem (MCP) with n-vertices. The time complexity of biological operations required is O(n+m) (m is the number of edges of the complementary graph), and the space complexity is O (n+m). The main feature of this model is using circular single-stranded DNA (c-ssDNA) to implement the computation on the nano-scale. By the CDLG method, the target DNA molecules will grow in length just when they satisfy the conditions. To verify the algorithm, a small paradigm is calculated by the nano-scale DNA computing model. The computing achievement by circular DNA demonstrates the potential ability of DNA computing to solve NPcomplete problems.
DNA computing Maximal clique problem Circular DNA length growth NP-complete problem Algorithm complexity
Jing Yang Jin Xu
Institute of Software, School of Electronics Engineering and Computer Science, Peking University Key laboratory of High Confidence Software Technologies, Ministry of Education, Beijing, China
国际会议
2012 International Conference on Measurement,Information and Control(2012测量、信息与控制国际会议 ICMIC2012)
哈尔滨
英文
558-562
2012-05-18(万方平台首次上网日期,不代表论文的发表时间)