Scaling Behaviour of Developing and Decaying Networks

Preprint

2 May 2000

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/0005050

Abstract

We find that a wide class of developing and decaying networks has scaling properties similar to those that were recently observed by Barab\'{a}si and Albert in the particular case of growing networks. The networks considered here evolve according to the following rules: (i) Each instant a new site is added, the probability of its connection to old sites is proportional to their connectivities. (ii) In addition, (a) new links between some old sites appear with probability proportional to the product of their connectivities or (b) some links between old sites are removed with equal probability.

Keywords

DEVELOPING AND DECAYING
SCALING PROPERTIES
DECAYING NETWORKS
LINKS BETWEEN OLD
SCALING BEHAVIOUR
CONNECTIVITIES
PROBABILITY
WIDE CLASS
OLD SITES

All Related Versions

Version 1, 2000-05-02, ArXiv
Published version: Europhysics Letters, 52 (1), 33.

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