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math.GR2010
Asymptotic Traffic Flow in a Hyperbolic Network: Non-uniform Traffic
Yuliy Baryshnikov, Gabriel H. Tucci
In this work we study the asymptotic traffic flow in Gromov's hyperbolic graphs when the traffic decays exponentially with the distance. We prove that under general conditions, the…
math.GR2010★ 1 cited
Asymptotic Traffic Flow in a Hyperbolic Network: Definition and Properties of the Core
Yuliy Baryshnikov, Gabriel H. Tucci
In this work we study the asymptotic traffic flow in Gromov's hyperbolic graphs. We prove that under certain mild hypotheses the traffic flow in a hyperbolic graph tends to pass th…