An exact algorithm for MAX-CUT in sparse graphs

نویسندگان

  • Federico Della Croce
  • Marcin Jakub Kaminski
  • Vangelis Th. Paschos
چکیده

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 while the first author was visiting LAMSADE on a research position funded by CNRS and the second author was visiting LAMSADE being supported by DIMACS under the NSF grant INT03-39067 to Rutgers University.

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عنوان ژورنال:
  • Oper. Res. Lett.

دوره 35  شماره 

صفحات  -

تاریخ انتشار 2007