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arxiv: 1510.07553 · v3 · pith:QCE3742B · submitted 2015-10-26 · math.CO

Even Orientations and Pfaffian graphs

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keywords characterizationcitegraphsevenlittleorientationspfaffianalgebra
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We give a characterization of Pfaffian graphs in terms of even orientations, extending the characterization of near bipartite non--pfaffian graphs by Fischer and Little \cite{FL}. Our graph theoretical characterization is equivalent to the one proved by Little in \cite{L73} (cf. \cite{LR}) using linear algebra arguments.

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