Infinitely Edge-Connected Graphs

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• Jan Kurkofka (Birmingham)
• Thursday 18 November 2021, 14:30-15:30
• MR12.

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The Farey graph plays a role in a number of mathematical fields ranging from group theory and number theory to geometry and dynamics. Curiously, graph theory is not among these. We show that the Farey graph plays a central role in graph theory too: it is one of two infinitely edge-connected graphs that must occur as a minor in every infinitely edge-connected graph. Previously it was not known that there was any set of graphs determining infinite edge-connectivity by forming a minor-minimal list in this way, let alone a finite set.

This talk is part of the Combinatorics Seminar series.

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