Geometric conditions for Euclidean Steiner trees in ℜd
نویسندگان
چکیده
We present geometric conditions that can be used to restrict or eliminate candidate topologes for Euclidean Steiner minimal trees in , d ≥ 2. Our emphasis is on conditions that are not restricted to the planar case (d = 2). For trees with a Steiner topology we give restrictions on terminal-Steiner connections that are based on the Voronoi diagram associated with the set of terminal nodes. We then describe more restrictive conditions for trees with a full Steiner topology and show how these conditions can be used to improve implicit enumeration algorithms for finding Euclidean Steiner minimal trees with d > 2.
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عنوان ژورنال:
- Comput. Geom.
دوره 46 شماره
صفحات -
تاریخ انتشار 2013