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Sparse partitions

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2 Author(s)
Awerbuch, Baruch ; Dept. of Math., MIT, Cambridge, MA, USA ; Peleg, D.

A collection of clustering and decomposition techniques that make possible the construction of sparse and locality-preserving representations for arbitrary networks is presented. The representation method considered is based on breaking the network G(V,E) into connected regions, or clusters, thus obtaining a cover for the network, i.e. a collection of clusters that covers the entire set of vertices V. Several other graph-theoretic structures that are strongly related to covers are discussed. These include sparse spanners, tree covers of graphs and the concepts of regional matchings and diameter-based separators. All of these structures can be constructed by means of one of the clustering algorithms given, and each has proved a convenient representation for handling certain network applications

Published in:

Foundations of Computer Science, 1990. Proceedings., 31st Annual Symposium on

Date of Conference:

22-24 Oct 1990