TY  - JOUR
AV  - none
TI  - Loops structure of the Internet at the autonomous system level
ID  - eprints1111
IS  - 6
UR  - http://dx.doi.org/10.1103/PhysRevE.71.066116
N2  - 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.
JF  - Physical Review E
KW  - PACS: 89.75.Hc; 89.20.Hh; 89.75.Da
KW  - ; 89.75.Fb

VL  - 71
PB  - American Physical Society
SN  - 1539-3755
Y1  - 2005/06//
A1  - Bianconi, Ginestra
A1  - Caldarelli, Guido
A1  - Capocci, Andrea
ER  -