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Network management Toolkit

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A Geometric Theorem for Wireless Network Design Optimization

PublisherCalifornia Institute of Technology
Format122.1KB PDFDate added01 Jan 2007
Topics Network Design, Mobile - Wireless Communications
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Consider an infinite square grid G. How many discs of given radius r, centered at the vertices of G, are required, in the worst case, to completely cover an arbitrary disc of radius r placed on the plane? The paper shows that this number is an integer in the set {3, 4, 5, 6}whose value depends on the ratio of r to the grid spacing.

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