eprintid: 1111
rev_number: 9
eprint_status: archive
userid: 6
dir: disk0/00/00/11/11
datestamp: 2012-02-03 15:01:41
lastmod: 2013-11-21 09:06:06
status_changed: 2012-02-03 15:01:41
type: article
metadata_visibility: show
creators_name: Bianconi, Ginestra
creators_name: Caldarelli, Guido
creators_name: Capocci, Andrea
creators_id: 
creators_id: guido.caldarelli@imtlucca.it
creators_id: 
title: Loops structure of the Internet at the autonomous system level
ispublished: pub
subjects: QA75
subjects: QC
divisions: EIC
full_text_status: none
keywords: PACS: 89.75.Hc; 89.20.Hh; 89.75.Da,; 89.75.Fb

abstract: We present here a study of the clustering and loops in a graph of the Internet at the autonomous systems level. We show that, even if the whole structure is changing with time, the statistical distributions of loops of order 3, 4, and 5 remain stable during the evolution. Moreover, we will bring evidence that the Internet graphs show characteristic Markovian signatures, since the structure is very well described by two-point correlations between the degrees of the vertices. This indeed proves that the Internet belongs to a class of network in which the two-point correlation is sufficient to describe their whole local (and thus global) structure. Data are also compared to present Internet models.
date: 2005-06
publication: Physical Review E
volume: 71
number: 6
publisher: American Physical Society
pagerange: 066116
id_number: 10.1103/PhysRevE.71.066116
refereed: TRUE
issn: 1539-3755
official_url: http://dx.doi.org/10.1103/PhysRevE.71.066116
related_url_url: http://arxiv.org/abs/cond-mat/0408349
citation:   Bianconi, Ginestra and Caldarelli, Guido and Capocci, Andrea  Loops structure of the Internet at the autonomous system level.  Physical Review E, 71 (6).  066116.  ISSN 1539-3755      (2005)