DNA computing for a dominating set problem based on sticker models

Zhixiang Yin, Jianzhong Cui, Yan Yang, Yin Ma, Wei Wang, Jin Yang, Xia Sun

Abstract: PurposeThe bottleneck of current DNA computing paradigms based on brute‐force search strategy is that initial solution space grows exponentially with problem size, thus only trivial instances of NP‐complete problem can be solved. The purpose of this paper is to present a novel molecular program based on sticker models for solving dominating set problems.Design/methodology/approachThe authors do not synthesize the initial solution pool containing every possible candidate solution as previously reported algorithm. Instead, solutions DNA molecules to the problem of interest are constructed during the course of computation.FindingsIt is shown that “exponential explosions” inherent in current DNA computing paradigms may be overcome in this way.Originality/valueThe paper proposes an error‐resistant DNA algorithm based on sticker model for solving minimum dominating problems.

External IDs:dblp:journals/kybernetes/YinCYMWYS12