INTEGRAL CRITERIA OF HYPERBOLICITY FOR ...
Document type :
Compte-rendu et recension critique d'ouvrage
Title :
INTEGRAL CRITERIA OF HYPERBOLICITY FOR GRAPHS AND GROUPS
Author(s) :
Journal title :
São Paulo Journal of Mathematical Sciences
Publisher :
Springer
Publication date :
2023
ISSN :
1982-6907
English keyword(s) :
Hyperbolic graphs and groups
geodesic bigons
thinness almost surely
geodesic bigons
thinness almost surely
HAL domain(s) :
Mathématiques [math]
English abstract : [en]
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 $\beta$ and the length of $\beta$in ...
Show more >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 $\beta$ and the length of $\beta$in the Cayley graph of a finitely presented group $G$is bounded above then $G$ is hyperbolic.Show less >
Show more >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 $\beta$ and the length of $\beta$in the Cayley graph of a finitely presented group $G$is bounded above then $G$ is hyperbolic.Show less >
Language :
Anglais
Popular science :
Non
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