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The Farey graph is uniquely determined by its connectivity

2020/06/22 by Kurkofka, Jan
#05C10 (Secondary) #05C63 (Primary) 05C40 #05C83 #Algebraic Geometry (math.AG) #Combinatorics (math.CO) #Dynamical Systems (math.DS) #FOS: Mathematics #Group Theory (math.GR) #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2006.12472

Abstract

We show that, up to minor-equivalence, the Farey graph is the unique minor-minimal graph that is infinitely edge-connected but such that every two vertices can be finitely separated.

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