School Seminars and Colloquia

Impact of boundaries on fully connected random geometric networks

Tuesday Seminar

by Orestis Georgiou

Institution: Max-Planck-Institute for the Physics of Complex Systems, Dresden
Date: Tue 20th December 2011
Time: 1:00 PM
Location: Room 215, Richard Berry Building

Abstract: Many complex networks exhibit a percolation transition involving a
macroscopic connected component, with universal features largely
independent of the microscopic model and the macroscopic domain
geometry. In contrast, it turns out that the transition to full
connectivity is strongly influenced by the details of the boundary and
exhibit an alternative form of universality. The statistical physics
approach taken produces a generalized formula for the probability of
fully connectivity. This result is largely model independent and
facilitates system design to promote or avoid full connectivity for
diverse geometries in arbitrary dimension. I will also discuss
applications of this formula to wireless communication networks.

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