Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Every set S of n points in the plane has a spanning tree such that no line disjoint from S has more than O( " n) intersections with the tree (where the edges are embedded as straight line segments).  review the proof of this result (originally proved by Bernard Chazelle and the author in a more general setting), point at some methods for constructing such a tree, and describe some algorithmic and combinatorial applications.
['Emo Welzl']
I am writing a research paper on a idea On Spanning Trees with Low Crossing Numbers
[{"from": "human", "value": "I am writing a research paper on a idea On Spanning Trees with Low Crossing Numbers"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Every set S of n points in the plane has a spanning tree such that no line disjoint from S has more than O( \" n) intersections with the tree (where the edges are embedded as straight line segments).  review the proof of this result (originally proved by Bernard Chazelle and the author in a more general setting), point at some methods for constructing such a tree, and describe some algorithmic and combinatorial applications."}]