Comment on ``Small-world networks: Evidence for a crossover picture''

dc.creatorBarrat, A.
dc.date1999-03-22
dc.date.accessioned2026-07-07T03:13:05Z
dc.date.available2026-07-07T03:13:05Z
dc.descriptionIn a recent letter (cond-mat/9903108), Barthelemy and Nunes Amaral discuss the crossover phenomenon between regular and ``small-world'' networks, as a function of the network size $n$ and of the disorder $p$. They claim that the average distance $\ell$ between vertices of the network scales with $n / n^*$, with $n^*(p \ll 1) sim p^{-τ}$ and $τ\approx 2/3$. We show analytically that $τ$ cannot be lower than 1 and perform numerical simulations showing that $τ= 1$.
dc.description2 pages, latex, 2 postscript figures
dc.identifierhttps://arxiv.org/abs/cond-mat/9903323
dc.identifierhttp://arxiv.org/abs/cond-mat/9903323
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/29161
dc.subjectStatistical Mechanics
dc.subjectDisordered Systems and Neural Networks
dc.titleComment on ``Small-world networks: Evidence for a crossover picture''
dc.typetext

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