منابع مشابه
On Point-Sets That Support Planar Graphs
Article history: Received 14 October 2011 Accepted 27 March 2012 Available online xxxx Communicated by D. Wagner
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A set P of points in R is n-universal, if every planar graph on n vertices admits a plane straight-line embedding on P. Answering a question by Kobourov, we show that there is no n-universal point set of size n, for any n 15. Conversely, we use a computer program to show that there exist universal point sets for all n 10 and to enumerate all corresponding order types. Finally, we describe a col...
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Let P be a set of n ≥ 3 points in the plane in general position with n even and let h being the number of points on the convex hull of P . We want to know in which cases P admits a planar embedding of a cubic, connected graph (a “cubic embedding”)? García et al. proved in [1] that cubic embeddings always exists for h ≤ 4n, but for higher values of h the question remained open. We present a char...
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ژورنال
عنوان ژورنال: Computational Geometry
سال: 2013
ISSN: 0925-7721
DOI: 10.1016/j.comgeo.2012.03.003