https://doi.org/10.1140/epjb/e2011-20346-0
Regular Article
Topological phase transition in a network model with preferential attachment and node removal
1
Rudolf Peierls Centre for Theoretical Physics, University of
Oxford, 1 Keble
Road, Oxford,
OX1 3NP,
UK
2
Computer Science Department and Department of Physics and
Astronomy, University of New Mexico, Albuquerque, NM
87131,
USA
3
Santa Fe Institute, 1399 Hyde Park Road, Santa Fe, NM
87501,
USA
4
Rhône Alpes Complex Systems Institute, École Normale Supérieure de
Lyon, Université de Lyon 1, 15
parvis René Descartes, BP 7000
69342
Lyon Cedex 07,
France
a e-mail: jrouquie@gmail.com
Received:
5
May
2011
Received in final form:
4
September
2011
Published online:
17
October
2011
Preferential attachment is a popular model of growing networks. We consider a generalized model with random node removal, and a combination of preferential and random attachment. Using a high-degree expansion of the master equation, we identify a topological phase transition depending on the rate of node removal and the relative strength of preferential vs. random attachment, where the degree distribution goes from a power law to one with an exponential tail.
© EDP Sciences, Società Italiana di Fisica and Springer-Verlag, 2011
