A binary labeling for plane Laman graphs and quadrangulations

نویسندگان

  • Clemens Huemer
  • Sarah Kappes
  • David Orden
چکیده

We present binary labelings for the angles of quadrangulations and plane Laman graphs, which are in analogy with Schnyder labelings for triangulations [W. Schnyder, Proc. 1st ACM-SIAM Symposium on Discrete Algorithms, 1990] and imply a special tree decomposition for quadrangulations. In particular, we show how to embed quadrangulations on a 2-book, so that each page contains a non-crossing alternating tree.

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A binary labelling for plane Laman graphs and quadrangulations

We provide binary labellings for the angles of quadrangulations and plane Laman graphs which are in analogy with Schnyder labellings for triangulations [W. Schnyder, Proc. 1st ACM-SIAM Symposium on Discrete Algorithms, 1990].

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تاریخ انتشار 2008