Relaxation Properties of Small-World Networks

Preprint

13 April 2000

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/0004214

Abstract

Recently, Watts and Strogatz introduced the so-called small-world networks in order to describe systems which combine simultaneously properties of regular and of random lattices. In this work we study diffusion processes defined on such structures by considering explicitly the probability for a random walker to be present at the origin. The results are intermediate between the corresponding ones for fractals and for Cayley trees.

Keywords

RELAXATION PROPERTIES
SMALL WORLD NETWORKS
STROGATZ INTRODUCED
PROPERTIES OF SMALL
NETWORKS RECENTLY
WORLD NETWORKS
DIFFUSION
FRACTALS

All Related Versions

Version 1, 2000-04-13, ArXiv
Published version: Physical Review E, 62 (3), 4405.

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