Simeon Furrer, Dirk Dahlhaus
ISIT 2005
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. The problem of finding a bisection of minimum cost is prototypical to graph partitioning problems, which arise in numerous contexts. This problem is NP-hard. We present an algorithm that finds a bisection whose cost is within a factor of O(log1.5 n) from the minimum. 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. © 2006 Society for Industrial and Applied Mathematics.
Simeon Furrer, Dirk Dahlhaus
ISIT 2005
M. Shub, B. Weiss
Ergodic Theory and Dynamical Systems
Chai Wah Wu
Linear Algebra and Its Applications
Corneliu Constantinescu
SPIE Optical Engineering + Applications 2009