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On the structural properties of small-world networks with range-limited shortcut links

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  • Jia, Tao
  • Kulkarni, Rahul V.

Abstract

We explore a new variant of Small-World Networks (SWNs), in which an additional parameter (r) sets the length scale over which shortcuts are uniformly distributed. When r=0 we have an ordered network, whereas r=1 corresponds to the original Watts–Strogatz SWN model. These limited range SWNs have a similar degree distribution and scaling properties as the original SWN model. We observe the small-world phenomenon for r≪1, indicating that global shortcuts are not necessary for the small-world effect. For limited range SWNs, the average path length changes nonmonotonically with system size, whereas for the original SWN model it increases monotonically. We propose an expression for the average path length for limited range SWNs based on numerical simulations and analytical approximations.

Suggested Citation

  • Jia, Tao & Kulkarni, Rahul V., 2013. "On the structural properties of small-world networks with range-limited shortcut links," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(23), pages 6118-6124.
    • Handle: RePEc:eee:phsmap:v:392:y:2013:i:23:p:6118-6124
    DOI: 10.1016/j.physa.2013.07.060
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    Cited by:

    1. Tao Jia & Robert F Spivey & Boleslaw Szymanski & Gyorgy Korniss, 2015. "An Analysis of the Matching Hypothesis in Networks," PLOS ONE, Public Library of Science, vol. 10(6), pages 1-12, June.

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