The Affection of Exponential Growth on Scale-free Network

DOI

10.2991/icmemi-15.2015.28How to use a DOI?

Keywords

Local world, Power-law distribution, Poisson procedure, Mean-field theory.

Abstract

The combination of growth and preferential attachment is responsible for the power-law distribution of vertices’ degree in random networks; however there are many kinds of growing ways of real networks. Based on preferential attachment and exponential growth, the paper presents the analytical results which the vertices’ degree of scale-free network follows power-law distribution p(k)~k-r (r=2 +1) and parameter satisfies 0.5 1. At same time we find that the preferential attachment is taken place in a dynamic local world and the size of the dynamic local world is in direct proportion to the size of whole networks. The paper also gives the analytical results of no-preferential attachment and exponential growth on random networks. At last, computer simulated results of the model illustrate these analytical results.

Copyright

© 2015, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Bei-You Li
AU  - Tian-Fan Song
AU  - Rui-Ling Bian
PY  - 2015/01
DA  - 2015/01
TI  - The Affection of Exponential Growth on Scale-free Network
BT  - Proceedings of the 2015 International Conference on Management Engineering and Management Innovation
PB  - Atlantis Press
SP  - 149
EP  - 154
SN  - 2352-5428
UR  - https://doi.org/10.2991/icmemi-15.2015.28
DO  - 10.2991/icmemi-15.2015.28
ID  - Li2015/01
ER  -