Chapter

Small and large worlds

Sergey N. Dorogovtsev

in Lectures on Complex Networks

Published in print February 2010 | ISBN: 9780199548927
Published online May 2010 | e-ISBN: 9780191720574 | DOI: http://dx.doi.org/10.1093/acprof:oso/9780199548927.003.0003

Series: Oxford Master Series in Physics

Small and large worlds

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This chapter discusses and compares the geometries of small worlds, lattices and fractals. The first measurements of the diameter of the World Wide Web are described. The Watts–Strogatz model of a small-world network and crossover from a lattice to a small world are discussed. The fractal properties of giant connected components near the birth points are described and their fractal dimensions are discussed.

Keywords: small-world phenomenon; lattices; fractal dimension; average shortest-path length

Chapter.  4083 words.  Illustrated.

Subjects: Mathematical and Statistical Physics

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