Multi-directional Width-Bounded Geometric Separator and Protein Folding

نویسندگان

  • Bin Fu
  • Sorinel Adrian Oprisan
  • Lizhe Xu
چکیده

We introduce the concept of multi-directional width-bounded geometric separators and obtain an improved separator for grid graphs. This yields an improved exact algorithm for the protein folding problem in the HP-model. For a grid graph G with n grid points P , there exists a separator A ⊆ P such that A has at most 1.02074 √ n points, and G−A has two disconnected subgraphs each with at most 2 3 n nodes. This improves the previous upper bound of 1.129 √ n . We also derive a 0.7555 √ n lower bound for such a separator in grid graphs.

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تاریخ انتشار 2005