Practical Performance of Eecient Minimum Cut Algorithms
نویسندگان
چکیده
In the late eighties and early nineties, three major exciting new developments (and some rami cations) in the computation of minimum capacity cuts occurred and these developments motivated us to evaluate the old and new methods experimentally. We provide a brief overview of the most important algorithms for the minimum capacity cut problem and compare these methods both on problem instances from the literature and on problem instances originating from the solution of the traveling salesman problem by branch-andcut.
منابع مشابه
Communication-Efficient Parallel Multiway and Approximate Minimum Cut Computation
We examine diierent variants of minimum cut problems on undi-rected weighted graphs on the p-processor bulk synchronous parallel BSP model of Valiant. This model and the corresponding cost measure guide algorithm designers to develop work eecient algorithms that need only very little communication. Karger and Stein have presented a recursive contraction algorithm to solve minimum cut problems. ...
متن کاملPerformance analysis and best implementations of old and newalgorithms for the Open - Pit Mining
The open-pit mining problem is to determine the contours of a mine, based on economic data and engineering feasibility requirements in order to yield maximumpossible net income. This practical problem needs to be solved for very large data sets. In practice, moreover, it is necessary to test multiple scenarios taking into account a variety of realizations of geological predictions and forecasts...
متن کاملAlgorithm for Minimum Cuts
A minimum cut is a set of edges of minimum weight whose removal disconnects a given graph. Minimum cut algorithms historically applied duality with maximum ows and thus had the same (mn) running time as maximum ow algorithms. More recent algorithms which are not based on maximum ows also require (mn) time. In this paper, we present the rst algorithm that breaks the (mn) \max-ow barrier" for ndi...
متن کاملEecient Restoration of Multicolor Images with Independent Noise
We consider the problem of maximum a posteriori (MAP) restoration of multicolor images where each pixel has been degraded by independent arbitrary noise. We assume that the prior distribution is given by a Markov random eld with pairwise site interactions. Two classes of site interactions are considered: two-valued site interactions, which form a generalized Potts model; and linear site interac...
متن کاملMarkov Random Fields with E cient Approximations
Markov Random Fields (MRF's) can be used for a wide variety of vision problems. In this paper we focus on MRF's with two-valued clique potentials, which form a generalized Potts model. We show that the maximum a posteriori estimate of such an MRF can be obtained by solving a multiway minimum cut problem on a graph. We develop eecient algorithms for computing good approximations to the minimum m...
متن کامل