Computer Science – Computational Complexity
Scientific paper
2007-09-05
Computer Science
Computational Complexity
11 pages, 2 figures
Scientific paper
We show that given $m$ proteins (or protein backbones, which are modeled as 3D polygonal chains each of length O(n)) the problem of protein local structure alignment under the discrete Fr\'{e}chet distance is as hard as Independent Set. So the problem does not admit any approximation of factor $n^{1-\epsilon}$. This is the strongest negative result regarding the protein local structure alignment problem. On the other hand, if $m$ is a constant, then the problem can be solved in polygnomial time.
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