Matroid and Tutte-Connectivity in Infinite Graphs

Henning Bruhn

Abstract


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.


Keywords


Connectivity; Infinite graphs; Infinite matroids

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