Core congestion is inherent in hyperbolic networks

  title={Core congestion is inherent in hyperbolic networks},
  author={Victor Chepoi and Feodor F. Dragan and Yann Vax{\`e}s},
We investigate the impact the negative curvature has on the traffic congestion in large-scale networks. We prove that every Gromov hyperbolic network $G$ admits a core, thus answering in the positive a conjecture by Jonckheere, Lou, Bonahon, and Baryshnikov, Internet Mathematics, 7 (2011) which is based on the experimental observation by Narayan and Saniee, Physical Review E, 84 (2011) that real-world networks with small hyperbolicity have a core congestion. Namely, we prove that for every… 

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