We present a probabilistic parameterized algorithm for the problem of vertex cover with time complexity 0(p2^k), where k is a parameter of the given instance, and p is a polynomial function on the input size. Furthermore, we implement this algorithm within sticker model by DNA computing, with space complexity O(2^k) and polynomial time complexity O(n^2), where n is the number of vertexes.
Citation:
Zhiyun Chen, Huiqin Qu, Mingming Lu, Hong Zhu, "A Probabilistic Parameterized Algorithm for Vertex Cover in Sticker Model," ipdps, vol. 7, pp.166b, 18th International Parallel and Distributed Processing Symposium (IPDPS'04) - Workshop 6, 2004