J4 ›› 2012, Vol. 47 ›› Issue (12): 57-63.

• Articles • Previous Articles     Next Articles

The largest common nested sub-graph in RNA folding

LIU Guo-dong1, WANG Zhen-jia2, LIU Bing-qiang2*   

  1. 1. Department of Human Resources, Shandong University of Science and Technology,
    Jinan Campus, Jinan 250031, Shandong, China;
    2. School of Mathematics, Shandong University, Jinan 250100, Shandong, China
  • Online:2012-12-20 Published:2012-12-14

Abstract:

In the Nested Linear Graph model, the problem of finding the largest common secondary sequence of multiple ncRNA alignment is precisely the problem of finding the largest common nested linear sub-graph. By simplifying the model, it is proven that this problem is NP-Complete in the condition of pseudo-flat nested linear graph, and an approximate algorithm for the largest level nested linear sub-graph is given.

Key words: linear graph; nested; integral sub-graph; subsequence; NP-Complete

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