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NODE-NODE DISTANCE DISTRIBUTION FOR GROWING NETWORKS

Abstract

We present a simulation of the time evolution of the distance matrix. The result is a node-node distance distribution for various kinds of networks. For the exponential trees, analytical formulas are derived for the moments of distance distribution.

Keywords:

evolving networks, random networks, scale-free networks, graphs, trees, small-world effect

Details

Issue
Vol. 8 No. 1 (2004)
Section
Research article
Published
2004-03-31
Licencja:
Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Authors

  • KRZYSZTOF MALARZ

    Faculty of Physics and Nuclear Techniques, AGH University of Science and Technology, al. Mickiewicza 30, PL-30059 Cracow, Poland
  • JUSTYNA KARPIŃSKA

    Faculty of Physics and Nuclear Techniques, AGH University of Science and Technology, al. Mickiewicza 30, PL-30059 Cracow, Poland
  • ALEKSANDER KARDAS

    Faculty of Physics and Nuclear Techniques, AGH University of Science and Technology, al. Mickiewicza 30, PL-30059 Cracow, Poland
  • KRZYSZTOF KUŁAKOWSKI

    Faculty of Physics and Nuclear Techniques, AGH University of Science and Technology, al. Mickiewicza 30, PL-30059 Cracow, Poland

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