Asymptotic Traffic Flow in a Hyperbolic Network: Definition and Properties of the Core

Details Asymptotic Traffic Flow in a Hyperbolic Network: Definition and Properties of the Core Asymptotic Traffic Flow in a Hyperbolic Network: Definition and Properties of the Core

2010-10-16

arxiv.org/abs/1010.3304v2

Mathematics

Group Theory

13 pages, 3 figures

Scientific paper

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 through a finite set of highly congested nodes. These nodes are called the "core" of the graph. We provide a formal definition of the core in a very general context and we study the properties of this set for several graphs.

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