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Matroid and Tutte-connectivity in infinite graphs - MaRDI portal

Matroid and Tutte-connectivity in infinite graphs (Q405204)

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Matroid and Tutte-connectivity in infinite graphs
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    Matroid and Tutte-connectivity in infinite graphs (English)
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    4 September 2014
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    Summary: We relate matroid connectivity to Tutte-connectivity in an infinite graph. Moreover, we show that the two cycle matroids, the finite-cycle matroid and the cycle matroid, in which also infinite cycles are taken into account, have the same connectivity function. As an application we re-prove that, also for infinite graphs, Tutte-connectivity is invariant under taking dual graphs.
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    connectivity
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    infinite graphs
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    infinite matroids
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