1. A New Approach to Advance the DNA Computing Z. F. Qiu and M. Lu Applied Soft Computing, v.3, pp.177-189, 2003 Summarized by In-Hee Lee

2. Introduction Provide new model. Provide new algorithm to solve 3-Coloring problem.

3. New(?) Model Synthesis Ligation L(P3, P1, P2) – Each strand in P1 is ligated to to every other strand in P2. Separation S(P, Pt, Pf, c) – Partition P under criteria c. – Pt : strands that meet the criteria c – Pf : strands that do not meet c Detection – Check if there is any strand left in the pool.

4. 3-Coloring Problem Paint all nodes with one of 3 colors. Do not paint nodes which are directly connected by edge with the same color. Input: graph Answer: 3-colorable or not.

5. The New(?) Algorithm Divide and conquer Divide the graph until one node is left in each partition. Edge 를 붙여가면서 edge 의 양끝 node 가 같은 색인 것은 제거. 마지막에 남은 것이 있으면 그 그래프는 3- colorable.

7. Performance Up to 256 vertices in 2 days. – Assumes average DNA operation takes 20 min. With 1 % false negative error rate, – The overall false negative rate can be reduced to 0.0001%.

8. Conclusion A new model for DNA computing is introduced. Parallelization of the separation operation on multiple edges and other process.