How to Quantify 'Small-World Networks'?-Reference-Cited by-同舟云学术

How to Quantify 'Small-World Networks'?

Published:1998-12 Issue:04 Volume:06 Page:301-303
ISSN:0218-348X
Container-title:Fractals
language:en
Short-container-title:Fractals

Author:

Herzel Hanspeter¹

Affiliation:

1. Institute for Theoretical Biology, Humboldt University, Invalidenstr. 43, D-10115 Berlin, Germany

Abstract

Recently Watts and Strogatz emphasized the widespread relevance of 'small worlds' and studied numerically networks between complete regularity and complete randomness. In this letter, I derive simple analytical expressions which can reproduce the empirical observations. It is shown how a few random connections can turn a regular network into a 'small-world network' with a short global connection but persisting local clustering.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Geometry and Topology,Modelling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218348X98000353

Reference5 articles.

1. Collective dynamics of ‘small-world’ networks

2. It's a small world

3. Rapid local synchronization of action potentials: toward computation with coupled integrate-and-fire neurons.

4. Metabolic stability and epigenesis in randomly constructed genetic nets

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