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arXiv · 1106.4189

Bipartite partial duals and circuits in medial graphs

Stephen Huggett·Iain Moffatt
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Abstract

It is well known that a plane graph is Eulerian if and only if its geometric dual is bipartite. We extend this result to partial duals of plane graphs. We then characterize all bipartite partial duals of a plane graph in terms of oriented circuits in its medial graph.

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Stephen Huggett, Iain Moffatt. 2012-02-24. Bipartite partial duals and circuits in medial graphs. https://doi.org/10.1007/s00493-013-2850-0

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