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A basis for the cycle space of a 2-connected graph - MaRDI portal

A basis for the cycle space of a 2-connected graph (Q753834)

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scientific article; zbMATH DE number 4181372
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English
A basis for the cycle space of a 2-connected graph
scientific article; zbMATH DE number 4181372

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    A basis for the cycle space of a 2-connected graph (English)
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    1985
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    This note contains a short proof of the result of \textit{I. B.-A. Hartman} [Eur. J. Comb. 4, 237-246 (1983; Zbl 0521.05039)] that the cycles of length at least \(d+1\) in any 2-connected graph of minimum degree at least d generate the cycle space, unless d is odd and the graph is isomorphic to \(K_{d+1}\).
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