Efficient minimum spanning tree construction without Delaunay triangulation
نویسندگان
چکیده
منابع مشابه
Eecient Minimum Spanning Tree Construction without Delaunay Triangulation
Minimum spanning tree problem is a very important problem in VLSI CAD. Given n points in a plane, a minimum spanning tree is a set of edges which connects all the points and has a minimum total length. A naive approach enumerates edges on all pairs of points and takes at least (n 2) time. More eecient approaches nd a minimum spanning tree only among edges in the Delaunay triangulation of the po...
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This first algorithm is quite simple. (Though this was probably known earlier, its proof can be found in Prof. Indyk’s 1999 paper “Sublinear Time Algorithms for Metric Space Problems”.) Let Dij denote the distance between a pair of points i and j, over m total points. The entries of Dij must satisfy the triangle inequality; additionally the matrix is symmetric. Note that the matrix size (i.e., ...
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ژورنال
عنوان ژورنال: Information Processing Letters
سال: 2002
ISSN: 0020-0190
DOI: 10.1016/s0020-0190(01)00232-0