We examine the global organization of growing networks in which a new vertex
is attached to already existing ones with a probability depending on their age. We find that
the network is infinite or finite dimensional depending on whether the attachment probability
decays slower or faster than (age)−1. The network becomes one dimensional when the attachment
probability decays faster than (age)−2. We describe structural characteristics of these phases and
transitions between them.
%0 Journal Article
%1 DoKr2008
%A Dorogovtsev, P. L. Krapivsky S. N.
%A Mendes, J. F. F.
%D 2008
%J Europhysics Letters
%K age complex dorog mendes model networks
%N 3
%P 30004
%T Transition from small to large world in growing networks
%U http://www.iop.org/EJ/article/-search=49811276.1/0295-5075/81/3/30004/epl_81_3_30004.pdf
%V 81
%X We examine the global organization of growing networks in which a new vertex
is attached to already existing ones with a probability depending on their age. We find that
the network is infinite or finite dimensional depending on whether the attachment probability
decays slower or faster than (age)−1. The network becomes one dimensional when the attachment
probability decays faster than (age)−2. We describe structural characteristics of these phases and
transitions between them.
@article{DoKr2008,
abstract = {We examine the global organization of growing networks in which a new vertex
is attached to already existing ones with a probability depending on their age. We find that
the network is infinite or finite dimensional depending on whether the attachment probability
decays slower or faster than (age)−1. The network becomes one dimensional when the attachment
probability decays faster than (age)−2. We describe structural characteristics of these phases and
transitions between them.},
added-at = {2008-03-26T12:21:16.000+0100},
author = {Dorogovtsev, P. L. Krapivsky S. N. and Mendes, J. F. F.},
biburl = {https://www.bibsonomy.org/bibtex/2a00a502f97ba2200b14e2b4923412e7c/vitelot},
interhash = {1a620b4235b8b8e0795704af266bb72a},
intrahash = {a00a502f97ba2200b14e2b4923412e7c},
journal = {Europhysics Letters},
keywords = {age complex dorog mendes model networks},
month = {02},
number = 3,
pages = 30004,
timestamp = {2008-03-26T12:21:16.000+0100},
title = {Transition from small to large world in growing networks},
url = {http://www.iop.org/EJ/article/-search=49811276.1/0295-5075/81/3/30004/epl_81_3_30004.pdf},
volume = 81,
year = 2008
}