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Simple models of small-world networks with directed links

Ramezanpour, A ; Sharif University of Technology | 2002

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  1. Type of Document: Article
  2. DOI: 10.1103/PhysRevE.66.036128
  3. Publisher: 2002
  4. Abstract:
  5. We investigate the effect of directed short- and long-range connections in a simple model of a small-world network. Our model is one in which we can determine many quantities of interest by an exact analytical method. We calculate the function [formula presented] defined as the number of sites affected up to time T when a naive spreading process starts in the network. As opposed to shortcuts, the presence of unfavorable bonds has a negative effect on this quantity. Hence, the spreading process may not be able to affect all of the network. We define and calculate a quantity identified as the average size of the accessible world in our model. The interplay of shortcuts and unfavorable bonds on the small world properties is studied. © 2002 The American Physical Society
  6. Keywords:
  7. Computer simulation ; Wind ; Turbulence ; Shear stress ; Mathematical models ; Data acquisition
  8. Source: Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics ; Volume 66, Issue 3 , 2002 ; 1063651X (ISSN)