On greedy construction heuristics for the MAX-CUT problem Academic Article

abstract

• Given a graph with non-negative edge weights, the MAX-CUT problem is to partition the set of vertices into two subsets so that the sum of the weights of edges with endpoints in different subsets is maximised. This classical NP-hard problem finds applications in VLSI design, statistical physics, and classification among other fields. This paper compares the performance of several greedy construction heuristics for MAX-CUT problem. In particular, a new 'worst-out' approach is studied and the proposed edge contraction heuristic is shown to have an approximation ratio of at least 1/3. The results of experimental comparison of the worst-out approach, the well-known best-in algorithm, and modifications for both are also included. 2007, Inderscience Publishers.

authors

• Butenko, Sergiy

published proceedings

• INTERNATIONAL JOURNAL OF COMPUTATIONAL SCIENCE AND ENGINEERING

author list (cited authors)

• Kahruman, S., Kolotoglu, E., Butenko, S., & Hicks, I. V.

citation count

• 48

complete list of authors

• Kahruman, Sera||Kolotoglu, Elif||Butenko, Sergiy||Hicks, Illya V

publication date

• April 2007

publisher

• Inderscience Publishers  Publisher

published in

• International Journal of Computational Science and Engineering  Journal

keywords

• Approximation Algorithms
• Graph Theory
• Heuristics
• Max-cut Problem

Digital Object Identifier (DOI)

• 10.1504/IJCSE.2007.017827

start page

• 211

end page

• 218

volume

• 3

issue

• 3

URL

• http://dx.doi.org/10.1504/ijcse.2007.017827