A novel 2-D graphical representation of DNA sequences of low degeneracy |
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| Institution: | 1. Institute of Mathematics and Physics, Xinjiang University, Wulumuqi, Xinjiang 830046, PR China;2. Ames Laboratory-EOE, Iowa State University, Ames, Iowa 50011, USA;3. Natural Resources Research Institute, University of Minnesota Duluth, Duluth, MN 55811, USA;1. State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Mailbox NO.92, Beijing, 100876, PR China;2. Institute of Computer and Information Technology, Henan Normal University, Xinxiang 453007, PR China;1. School of Marine Science and Technology, Northwestern Polytechnical University, Xi’an 710072, PR China;2. School of Mathematics and Statistics, The University of Western Australia, Crawley, Western Australia, 6009, Australia;3. Mineral Resources, CSIRO, Kensington, Western Australia, 6151, Australia;1. School of Energy and Mechanical Engineering, Nanjing Normal University, Nanjing 210042, China;2. State Key Laboratory of Coal Combustion, School of Energy and Power Engineering, Huazhong University of Science and Technology, Wuhan 430074, China |
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| Abstract: | Some 2-D and 3-D graphical representations of DNA sequences have been given by Nandy, Leong and Mogenthaler, and Randic et al., which give visual characterizations of DNA sequences. In this Letter, we introduce a novel graphical representation of DNA sequences by taking four special vectors in 2-D space to represent the four nucleic acid bases in DNA sequences, so that a DNA sequence is denoted on a plane by a successive vector sequence, which is also a directed walk on the plane. It is showed that the novel graphical representation of DNA sequences has lower degeneracy and less overlapping. |
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