## Abstract

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 here, and each has proved a convenient representation for handling certain network applications.

Original language | English |
---|---|

Pages (from-to) | 503-513 |

Number of pages | 11 |

Journal | Annual Symposium on Foundations of Computer Science - Proceedings |

Volume | 2 |

State | Published - 1990 |

Externally published | Yes |

Event | Proceedings of the 31st Annual Symposium on Foundations of Computer Science - St. Louis, MO, USA Duration: 22 Oct 1990 → 24 Oct 1990 |