The paper researched the DNA computing method of classical optimization problems on weighted graph, improved the method of Weight-coding that belongs to the original model of DNA, raised some new methods of DNA encoding and DNA computing. Generally speaking, through the Relative length graph design that belongs to an Undirected weighted graph , given DNA coding and DNA computing a new method by...

Solving some mathematical problems such as NP-complete problems by conventional silicon-based computers is problematic and takes so long time. DNA computing is an alternative method of computing which uses DNA molecules for computing purposes. DNA computers have massive degrees of parallel processing capability. The massive parallel processing characteristic of DNA computers is of particular in...