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DNA Computing Model of Graph Isomorphism Based on Three Dimensional DNA Graph Structures

  • Zhixiang Yin
  • Jianzhong Cui
  • Jing Yang
  • Guangwu Liu
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 3645)

Abstract

An DNA computing model of solving the graph isomorphism problem with 3-D DNA structures is proposed in this paper. The k-armed branched junction molecules are used to encode k-degree vertices. Double stranded molecules are used to encode edges. These molecules are to be mixed in a test tube to be ligated. The reaction product can be detected by gel electrophoresis. The time complexity of the algorithm is o(n 2) , where n is the number of vertices of the graph.

Keywords

Graph Isomorphism Maximal Clique Problem Graph Isomorphism Problem Chinese Postman Problem Post Correspondence Problem 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2005

Authors and Affiliations

  • Zhixiang Yin
    • 1
  • Jianzhong Cui
    • 1
  • Jing Yang
    • 1
  • Guangwu Liu
    • 2
  1. 1.Department of Mathematics and PhysicsAnHui University of Science and TechnologyHuainan CityChina
  2. 2.Department of MathematicsWuhan University of TechnologyWuhan CityChina

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