Computing a Minimum-Depth Planar Graph Embedding in O ( n 4) Time

نویسندگان

  • Patrizio Angelini
  • Giuseppe Di Battista
  • Maurizio Patrignani
چکیده

Consider an n-vertex planar graph G. We present an O(n)-time algorithm for computing an embedding of G with minimum distance from the external face. This bound improves on the best previous bound by an O(n log n) factor. As a side effect, our algorithm improves the bounds of several algorithms that require the computation of a minimum distance embedding.

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تاریخ انتشار 2007