Triangulations without pointed spanning trees

نویسندگان

  • Oswin Aichholzer
  • Clemens Huemer
  • Hannes Krasser
چکیده

Problem 50 in the Open Problems Project of the computational geometry community asks whether any triangulation on a point set in the plane contains a pointed spanning tree as a subgraph. We provide a counterexample. As a consequence we show that there exist triangulations which require a linear number of edge flips to become Hamiltonian.

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عنوان ژورنال:
  • Comput. Geom.

دوره 40  شماره 

صفحات  -

تاریخ انتشار 2008