Min-Max Multiway Cut

We propose the Min-max multiway cut problem, a variant of the traditional Multiway cut problem, but with the goal of minimizing the maximum capacity (rather than the sum or average capacity) leaving a part of the partition. The problem is motivated by data partitioning in Peer-to-Peer networks. The min-max objective function forces the solution not to overload any given terminal, and hence may lead to better solution quality.

[1]  Yuval Rabani,et al.  An improved approximation algorithm for multiway cut , 1998, STOC '98.

[2]  Robert Krauthgamer,et al.  A polylogarithmic approximation of the minimum bisection , 2000, Proceedings 41st Annual Symposium on Foundations of Computer Science.

[3]  Mihalis Yannakakis,et al.  The Complexity of Multiterminal Cuts , 1994, SIAM J. Comput..

[4]  Mikkel Thorup,et al.  Rounding algorithms for a geometric embedding of minimum multiway cut , 1999, STOC '99.

[5]  C. Stein,et al.  Better Rounding Algorithms for a Geometric Embedding Relaxation of Minimum Multiway Cut , 1999, Symposium on the Theory of Computing.

[6]  David S. Johnson,et al.  Some Simplified NP-Complete Graph Problems , 1976, Theor. Comput. Sci..