We study the max cut problem in graphs not contractible to K5, and optimum perfect matchings in planar graphs. We prove that both problems can be formulated as polynomial size linear programs.
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Institut für Mathematik, Technische Universität Berlin, GermanyInstitut für Mathematik, Technische Universität Berlin, Germany
Milich, Marcel
Mütze, Torsten
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Department of Computer Science, University of Warwick, United KingdomInstitut für Mathematik, Technische Universität Berlin, Germany
Mütze, Torsten
Pergel, Martin
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Department of Software and Computer Science Education, Charles University Prague, Czech RepublicInstitut für Mathematik, Technische Universität Berlin, Germany
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W Virginia Univ, Dept Math, Morgantown, WV 26506 USA
Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Xinjiang, Peoples R ChinaUniv Wisconsin, Dept Math, La Crosse, WI 54601 USA
Lai, Hong-Jian
Yan, Huiya
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Univ Wisconsin, Dept Math, La Crosse, WI 54601 USAUniv Wisconsin, Dept Math, La Crosse, WI 54601 USA