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Artículo
Triangle-Free Planar Graphs as Segments Intersection Graphs
(1999)
We prove that every triangle-free planar graph is the graph of intersection of a set of segments in the plane. Moreover, the segments can be chosen in only three directions (horizontal, vertical and oblique) and in such a ...
Artículo
Geometric tree graphs of points in convex position
(1999)
Given a set P of points in the plane, the geometric tree graph of P is defined as the graph T(P) whose vertices are non-crossing spanning with straight edges trees of P, and where two trees T1 and T2 are adjacent if T2 = ...