The “rich-club phenomenon” in complex networks is characterized when nodes of higher degree are more interconnected than nodes with lower degree. The presence of this phenomenon may indicate several interesting high-level network properties, such as tolerance to hub failures. Here, the authors investigate the existence of this phenomenon across the hierarchies of several real-world networks. Their simulations reveal that the presence or absence of this phenomenon in a network does not imply its presence or absence in the network’s successive hierarchies, and that this behavior is even nonmonotonic in some cases.
REFERENCES
1.
S.
Zhou
and R. J.
Mondragon
, IEEE Commun. Lett.
8
, 180
(2004
).2.
V.
Colizza
, A.
Flammini
, M. A.
Serrano
, and A.
Vespignani
, Nat. Phys.
2
, 110
(2006
).3.
M.
Faloutsos
, P.
Faloutsos
, and C.
Faloutsos
, Proceedings of ACM SIGCOMM
, 1999
(unpublished).4.
R.
Cohen
, S.
Havlin
, S.
Mokryn
, D.
Dolev
, T.
Kalisky
, and Y.
Shavitt
, e-print arXiv:cond-mat/0305582.5.
e-print arXiv:cond-mat/0312646.
6.
L.
da F. Costa
and L. H. C.
da Silva
, Eur. Phys. J. B
50
, 237
(2006
);7.
R. F.
Andrade
, J. G.
Miranda
, and T.
Petit Lobão
, Phys. Rev. E
73
, 046101
(2006
).8.
L.
da F. Costa
and F. N.
Silva
, J. Stat. Phys.
(in press);e-print arXiv:cond-mat/0412761.
9.
10.
D. J.
Watts
and S. H.
Strogatz
, Nature (London)
393
, 440
(1998
).11.
H.
Jeong
, S. P.
Mason
, A. L.
Barabási
, and Z. N.
Oltvai
, Nature (London)
411
, 41
(2001
).12.
13.
V.
Colizza
, A.
Flammini
, M. A.
Serrano
, and A.
Vespignani
(http://cxnets.googlepages.com/research2).14.
© 2007 American Institute of Physics.
2007
American Institute of Physics
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