An exact algorithm for MAX-CUT in sparse graphs (Preliminary version)1
نویسندگان
چکیده
The MAX-CUT problem consists in partitioning the vertex set of a weighted graph into two subsets. The objective is to maximize the sum of weights of those edges that have their endpoints in two different parts of the partition. MAX-CUT is a well known NP-hard problem and it remains NP-hard even if restricted to the class of graphs with bounded maximum degree ∆ (for ∆ ≥ 3). In this paper we study exact algorithms for the MAX-CUT problem. Introducing a new technique, we present an algorithmic scheme that computes maximum cut in weighted graphs with bounded maximum degree. Our algorithm runs in time O∗(2(1−(2/∆))n). We also describe a MAX-CUT algorithm for general weighted graphs. Its time complexity is O∗(2mn/(m+n)). Both algorithms use polynomial space.
منابع مشابه
An exact algorithm for MAX-CUT in sparse graphs
We study exact algorithms for the max-cut problem. Introducing a new technique, we present an algorithmic scheme that computes a maximum cut in graphs with bounded maximum degree. Our algorithm runs in time O∗(2(1−(2/∆))n). We also describe a max-cut algorithm for general graphs. Its time complexity is O∗(2mn/(m+n)). Both algorithms use polynomial space. Acknowledgements: The work was done whil...
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