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arxiv: 1106.0420 · v1 · submitted 2011-06-02 · 🧮 math.CO

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Bipartizing fullerenes

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keywords facesgraphfullereneasymptoticallybipartizedbipartizingboundbridgeless
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A fullerene graph is a cubic bridgeless planar graph with twelve 5-faces such that all other faces are 6-faces. We show that any fullerene graph on n vertices can be bipartized by removing O(sqrt{n}) edges. This bound is asymptotically optimal.

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