Source: University of North Carolina

Date: January 2008

Type: White Paper

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Overview: This paper from University of North Carolina defines a sequence of low-weighted sparse structures LMSTk, and presented an efficient method to construct them locally using only O(n) messages. Here a structure is called lowweighted if its total link length is within a constant factor of that of the Euclidean minimum spanning tree. The paper further defines a bounded degree planar low weighted connected structure IMRG that can be constructed more efficiently. The total communication cost of localized method is at most 13n. It shows that both structures are asymptotically the best structures that can be constructed locally for broadcasting.

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