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arXiv · 0801.1438

Fullerene graphs have exponentially many perfect matchings

Frantisek Kardos·Daniel Král'·Jozef Miskuf·Jean-Sébastien Sereni
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Abstract

A fullerene graph is a planar cubic 3-connected graph with only pentagonal and hexagonal faces. We show that fullerene graphs have exponentially many perfect matchings.

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Frantisek Kardos, Daniel Král', Jozef Miskuf, Jean-Sébastien Sereni. 2010-05-27. Fullerene graphs have exponentially many perfect matchings. https://doi.org/10.1007/s10910-008-9471-7

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