Matroid and Tutte-connectivity in infinite graphs
The electronic journal of combinatorics, Tome 21 (2014) no. 2
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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.
DOI : 10.37236/2832
Classification : 05C63, 05C40, 05B35
Mots-clés : connectivity, infinite graphs, infinite matroids

Henning Bruhn  1

1 Universität Ulm
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Henning Bruhn. Matroid and Tutte-connectivity in infinite graphs. The electronic journal of combinatorics, Tome 21 (2014) no. 2. doi: 10.37236/2832

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