Mathematical Programming

, Volume 60, Issue 1–3, pp 53–68 | Cite as

On cuts and matchings in planar graphs

  • Francisco Barahona


We study the max cut problem in graphs not contractible toK5, and optimum perfect matchings in planar graphs. We prove that both problems can be formulated as polynomial size linear programs.

Key words

Cut polytope matching multicommodity flows 


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Copyright information

© The Mathematical Programming Society, Inc. 1993

Authors and Affiliations

  • Francisco Barahona
    • 1
  1. 1.Department of Combinatorics and OptimizationUniversity of WaterlooCanada

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