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A polylogarithmic approximation of the minimum bisection

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2 Author(s)
Feige, U. ; Dept. of Comput. Sci. & Appl. Math., Weizmann Inst. of Sci., Rehovot, Israel ; Krauthgamer, R.

A bisection of a graph with n vertices is a partition of its vertices into two sets, each of size n/2. The bisection cost is the number of edges connecting the two sets. Finding the bisection of minimum cost is NP-hard. We present an algorithm that finds a bisection whose cost is within ratio of O(log2 n) from the optimal. For graphs excluding any fixed graph as a minor (e.g. planar graphs) we obtain an improved approximation ratio of O(log n). The previously known approximation ratio for bisection was roughly √n

Published in:

Foundations of Computer Science, 2000. Proceedings. 41st Annual Symposium on

Date of Conference:

2000