2013 IEEE 54th Annual Symposium on Foundations of Computer Science (2000)

Redondo Beach, California

Nov. 12, 2000 to Nov. 14, 2000

ISSN: 0272-5428

ISBN: 0-7695-0850-2

pp: 105

R. Krauthgamer , Dept. of Comput. Sci. & Appl. Math., Weizmann Inst. of Sci., Rehovot, Israel

U. Feige , Dept. of Comput. Sci. & Appl. Math., Weizmann Inst. of Sci., Rehovot, Israel

ABSTRACT

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(log/sup 2/ 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 /spl radic/n.

INDEX TERMS

computational complexity; graph theory; computational geometry; polylogarithmic approximation; minimum bisection; graph; vertices; vertex partitioning; bisection cost; edges; complexity; approximation ratio

CITATION

R. Krauthgamer,
U. Feige,
"A polylogarithmic approximation of the minimum bisection",

*2013 IEEE 54th Annual Symposium on Foundations of Computer Science*, vol. 00, no. , pp. 105, 2000, doi:10.1109/SFCS.2000.892070