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On the Cycle Space of a 3--Connected Graph

Alexander Kelmans
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Abstract

We give a simple proof of Tutte's theorem stating that the cycle space of a 3--connected graph is generated by the set of non-separating circuits of the graph. Keywords: graph, cycle, circuit, cycle space, non-separating circuit, strong isomorphism.

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Alexander Kelmans. 2006-09-07. On the Cycle Space of a 3--Connected Graph. https://arxiv.org/abs/math/0609219

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