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A Biological Algorithm to Solve the Maximum Complete Subgraph Problem Based on Adleman-Lipton Model

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The maximum complete subgraph problem is to find a biggest vertex independent set in a given undirected graph. It is a vitally important NP problem in graph theory and applied mathematics. In this paper, we present a new DNA algorithm to solve the problem with DNA molecular operations using O(n 2) time complexity. We extend the application of DNA molecular operations and simultaneity simplify the complexity of the computation.
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Keywords: ADLEMAN-LIPTON MODEL; DNA COMPUTATION; NP-COMPLETE PROBLEM; THE MAXIMUM COMPLETE SUBGRAPH PROBLEM

Document Type: Research Article

Publication date: November 1, 2014

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  • Journal of Computational and Theoretical Nanoscience is an international peer-reviewed journal with a wide-ranging coverage, consolidates research activities in all aspects of computational and theoretical nanoscience into a single reference source. This journal offers scientists and engineers peer-reviewed research papers in all aspects of computational and theoretical nanoscience and nanotechnology in chemistry, physics, materials science, engineering and biology to publish original full papers and timely state-of-the-art reviews and short communications encompassing the fundamental and applied research.
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