An important special case of this result is that any red–blue planar matching can be completed into a crossing-free red–blue spanning tree in O ( n log n ) time ...
Abstract. Consider a planar straight line graph (PSLG), G, with k connected components, k ⩾ 2. We show that if no component is a.
It is shown that every disconnected vertex-colored plane straight line graph with no isolated vertices can be augmented (by adding edges) into a connected ...
Consider a planar straight line graph (PSLG), G, with k connected components, k⩾2k⩾2. We show that if no component is a singleton, we can always find a vertex ...
May 16, 2013 · It is shown that every disconnected vertex-colored plane straight line graph with no isolated vertices can be augmented (by adding edges) ...
Oct 16, 2010 · Theorem 1. Every vertex-colored plane straight line graph with no isolated vertices and no three collinear vertices admits an encompassing graph ...
Given n red and n blue points in the plane and a planar straight line matching between the red and the blue points, the matching can be extended into a ...
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Aug 11, 2004 · components of a planar straight line graph. The first problem involves color conforming augmentation of colored graphs into connected PSLGs ...
plane can be covered by a vertex-colored planar straight line tree with maximum degree three. Our Theorem 3 states that such a tree can encompass a given ...
Every planar graph can be colored with 5 colors. Proof. The proof is by induction on the number of vertices n; when n≤5 this is trivial.