Pointed Encompassing Trees
نویسندگان
چکیده
It is shown that for any set of disjoint line segments in the plane there exists a pointed binary encompassing tree, that is, a spanning tree on the segment endpoints that contains all input segments, has maximal degree three, and such that every vertex is incident to an angle greater than π. As a consequence, it follows that every set of disjoint line segments has a bounded degree pseudo-triangulation.
منابع مشابه
Pointed binary encompassing trees: Simple and optimal
For n disjoint line segments in the plane we construct in optimal O(n log n) time an encompassing tree of maximal degree three such that every vertex is pointed. Moreover, at every segment endpoint all incident edges lie in a halfplane defined by the incident input segment.
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