Network Structures from Selection Principles

ORAL

Abstract

We present an analysis of the topologies of a class of networks which are optimal in terms of the requirements of having as short a route as possible between any two nodes while yet keeping the congestion in the network as low as possible. Strikingly, we find a variety of distinct topologies and novel phase transitions between them on varying the number of links per node. Our results suggest that the emergence of the topologies observed in nature may arise both from growth mechanisms and the interplay of dynamical mechanisms with a selection process.

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Authors

  • Vittoria Colizza

    School of Informatics, Indiana University, 901 E. 10th Street, Bloomington, IN 47408 USA

  • Jayanth R. Banavar

    Department of Physics, The Pennsylvania State University, University Park, PA 16802, Penn State, Department of Physics, The Pennsylvania State University, 104 Davey Laboratory, University Park, PA 16802 USA

  • Amos Maritan

    Department of Physics, University of Padova, Via Marzolo 8, 35131 Padova, ITALY

  • Andrea Rinaldo

    Centro Internazionale di Idrologia ``Dino Tonini" and Dipartimento IMAGE, Universit\`a di Padova, I-35131 Padova, ITALY