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

Tao Jia and Rahul V. Kulkarni

Physica A: Statistical Mechanics and its Applications, 2013, vol. 392, issue 23, 6118-6124

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.

Keywords: Small-world networks; Range limited; Average path length (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:392:y:2013:i:23:p:6118-6124

DOI: 10.1016/j.physa.2013.07.060

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