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arXiv · 1705.00479

Highly connected infinite digraphs without edge-disjoint back and forth paths between a certain vertex pair

Attila Joó
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Abstract

We construct for all $ k\in \mathbb{N} $ a $ k $-edge-connected digraph $ D $ with $ s,t\in V(D) $ such that there are no edge-disjoint $ s \rightarrow t $ and $t\rightarrow s $ paths. We use in our construction "self-similar" graphs which technique could be useful in other problems as well.

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Attila Joó. 2017-05-01. Highly connected infinite digraphs without edge-disjoint back and forth paths between a certain vertex pair. https://doi.org/10.1002/jgt.22046

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