Faster Algorithms for Parametric Global Minimum Cut Problems

11/26/2019

∙

by   Hassene Aissi, et al.

∙

0

∙

share

The parametric global minimum cut problem concerns a graph G = (V,E) where the cost of each edge is an affine function of a parameter μ∈R^d for some fixed dimension d. We consider the problems of finding the next breakpoint in a given direction, and finding a parameter value with maximum minimum cut value. We develop strongly polynomial algorithms for these problems that are faster than a naive application of Megiddo's parametric search technique. Our results indicate that the next breakpoint problem is easier than the max value problem.