Sparse partitions
Awerbuch, B.; Peleg, D.
Foundations of Computer Science, 1990. Proceedings., 31st Annual Symposium on
Volume , Issue , 22-24 Oct 1990 Page(s):503 - 513 vol.2
Digital Object Identifier   10.1109/FSCS.1990.89571
Summary: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

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