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arXiv · 1202.3385

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

Eduardo Rivera-Campo·Virginia Urrutia-Galicia
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Abstract

Let P be a set of n > 2 points in general position in the plane and let G be a geometric graph with vertex set P. If the number of empty triangles uvw 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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Eduardo Rivera-Campo, Virginia Urrutia-Galicia. 2012-02-15. A sufficient condition for the existence of plane spanning trees on geometric graphs. https://doi.org/10.1016/j.comgeo.2012.02.006

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