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arxiv: math/0609219 · v1 · submitted 2006-09-07 · 🧮 math.CO

On the Cycle Space of a 3--Connected Graph

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keywords cyclegraphspacecircuitconnectednon-separatingcircuitsgenerated
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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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