## Abstract

Graph partitioning problems on graphs with edge capacities and vertex weights are considered. The problems of b-balanced and k-multiway separators are unified with the problem of minimum capacity p-separators. A new and simple O(log n) approximation algorithm is developed for minimum capacity p-separators yielding an O(log n) approximation algorithm for both b-balanced cuts and k-multiway separators. The results are enhanced by presenting a version of the algorithm that obtains an O(log OPT) approximation factor. The techniques involve spreading metrics that allow the minimum capacity p-separator problem to be formulated as an integer program. Generalizations of partitioning problems are also treated.

Original language | English |
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Pages | 639-648 |

Number of pages | 10 |

State | Published - 1997 |

Externally published | Yes |

Event | Proceedings of the 1996 8th Annual ACM-SIAM Symposium on Discrete Algorithms - New Orleans, LA, USA Duration: 5 Jan 1997 → 7 Jan 1997 |

### Conference

Conference | Proceedings of the 1996 8th Annual ACM-SIAM Symposium on Discrete Algorithms |
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City | New Orleans, LA, USA |

Period | 5/01/97 → 7/01/97 |