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Integral criteria of hyperbolicity for graphs and groups
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Journal Article
Integral criteria of hyperbolicity for graphs and groups
2024
Overview
We establish three criteria of hyperbolicity of a graph in terms of “average width of geodesic bigons”. In particular we prove that if the ratio of the Van Kampen area of a geodesic bigon
β
and the length of
β
in the Cayley graph of a finitely presented group
G
is bounded above then
G
is hyperbolic.
Publisher
Springer International Publishing,Springer Nature B.V
