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Efficient minimum spanning tree construction without Delaunay triangulation [VLSI CAD]

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3 Author(s)
Hai Zhou ; Synopsys Inc., Mountain View, CA, USA ; Shenoy, N. ; Nicholls, W.

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 Ω(n2) time. More efficient approaches find a minimum spanning tree only among edges in the Delaunay triangulation of the points. However, Delaunay triangulation is not well defined in rectilinear distance. In this paper, we first establish a framework for minimum spanning tree construction which is based on a general concept of spanning graphs. A spanning graph is a natural definition and not necessarily a Delaunay triangulation. Based on this framework, we then design an O(nlogn) sweep-line algorithm to construct a rectilinear minimum spanning tree without using Delaunay triangulation

Published in:

Design Automation Conference, 2001. Proceedings of the ASP-DAC 2001. Asia and South Pacific

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