A sufficient condition for the existence of plane spanning trees on geometric graphs

نویسندگان

  • Eduardo Rivera-Campo
  • Virginia Urrutia-Galicia
چکیده

Let P be a set of n ≥ 3 points in general position in the plane and let G be a geometric graph with vertex set P . If the number of empty triangles 4uvw in P for which the subgraph of G induced by {u, v, w} is not connected is at most n− 3, then G contains a non-self intersecting spanning tree.

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عنوان ژورنال:
  • Comput. Geom.

دوره 46  شماره 

صفحات  -

تاریخ انتشار 2013