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arXiv · 1010.3304

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

Yuliy Baryshnikov·Gabriel H. Tucci
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Abstract

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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math.GRcond-mat.stat-mechcs.NImath.MG

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BibTeXRIS

Yuliy Baryshnikov, Gabriel H. Tucci. 2010-10-16. Asymptotic Traffic Flow in a Hyperbolic Network: Definition and Properties of the Core. https://arxiv.org/abs/1010.3304

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