Proceedings of the 2016 Joint International Information Technology, Mechanical and Electronic Engineering

Scale-free Network Models With Parameters

Authors
Fei Ma, Jing Su, Bing Yao, Ming Yao
Corresponding Author
Fei Ma
Available Online October 2016.
DOI
10.2991/jimec-16.2016.26How to use a DOI?
Keywords
scale-free network; dynamical evolution; dynamic equation; small-world effect; preferential attachment.
Abstract

Based on typical scale-free network models, we set up the partial differential equation satisfied more general dynamic systems, and then we not only find another important topological property of scale-free networks, but also discuss the real background meaning of every function in the dynamical systems. Meanwhile we generalize the BA-network-model growth way ("star-graph-growth-way"). Starting from a more general situation, we establish a network model containing "star-graph-growth-way" and "triangle-growth-way". By analysis, this model is not only scale-free but also small-wall. Finally, distinguish the connect between the scope of the power law parameters.

Copyright
© 2016, 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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Volume Title
Proceedings of the 2016 Joint International Information Technology, Mechanical and Electronic Engineering
Series
Advances in Engineering Research
Publication Date
October 2016
ISBN
978-94-6252-234-3
ISSN
2352-5401
DOI
10.2991/jimec-16.2016.26How to use a DOI?
Copyright
© 2016, 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/).

Cite this article

TY  - CONF
AU  - Fei Ma
AU  - Jing Su
AU  - Bing Yao
AU  - Ming Yao
PY  - 2016/10
DA  - 2016/10
TI  - Scale-free Network Models With Parameters
BT  - Proceedings of the 2016 Joint International Information Technology, Mechanical and Electronic Engineering
PB  - Atlantis Press
SP  - 155
EP  - 162
SN  - 2352-5401
UR  - https://doi.org/10.2991/jimec-16.2016.26
DO  - 10.2991/jimec-16.2016.26
ID  - Ma2016/10
ER  -