The Application of DNA Molecule Algorithm on the Graph's Connectivity Problem

A DNA computing algorithm is proposed in this paper which uses DNA molecule algorithm to solve an NP-complete problem in the Graph theory, algorithm model of the connectivity problem are also established. According to the algorithm we need to design the special DNA molecule which will assemble based on a specific graph, then a series of experiments are performed to get the final answer. This biochemical algorithm could reduce the complexity of the connectivity problem. The biochemical experimental technologies are mature and available, which will provide a practical way to validate the practicability and effect of DNA molecule algorithm model.