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The disk-percolation model on graphs

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  • Lebensztayn, E.
  • Rodríguez, P.M.

Abstract

We study a long-range percolation model whose dynamics describe the spreading of an infection on an infinite graph. We obtain a sufficient condition for phase transition and prove an upper bound for the critical parameter of spherically symmetric trees.

Suggested Citation

  • Lebensztayn, E. & Rodríguez, P.M., 2008. "The disk-percolation model on graphs," Statistics & Probability Letters, Elsevier, vol. 78(14), pages 2130-2136, October.
    • Handle: RePEc:eee:stapro:v:78:y:2008:i:14:p:2130-2136
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    References listed on IDEAS

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    1. D'Souza, J. C. & Biggins, J. D., 1992. "The supercritical Galton-Watson process in varying environments," Stochastic Processes and their Applications, Elsevier, vol. 42(1), pages 39-47, August.
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