Efficient Construction of Euclidean Steiner Minimum Tree Using Combination of Delaunay Triangulation and Minimum Spanning Tree
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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In optimizing the area of Very Large Scale Integrated (VLSI) layouts, circuit interconnections should generally be realized with minimum total interconnect. This chapter addresses several variations of the corresponding fundamental Steiner minimal tree (SMT) problem, where a given set of pins is to be connected using minimum total wirelength. Steiner trees are important in global routing and wi...
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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: Journal of the Korea Society of Computer and Information
سال: 2014
ISSN: 1598-849X
DOI: 10.9708/jksci.2014.19.1.057