A NEW RANDOM REWIRING METHOD TO TRANSFORM FRACTAL NETWORKS INTO SMALL-WORLD NETWORKS

Jian-Hui Li, Zu-Guo Yu, Vo V. Anh, Jin-Long Liu and An-Qi Peng
Additional contact information
Jian-Hui Li: National Center for Applied Mathematics in Hunan, Xiangtan University, Hunan 411105, P. R. China†Key Laboratory of Intelligent Computing and Information, Processing of Ministry of Education, Xiangtan University, Hunan 411105, P. R. China
Zu-Guo Yu: National Center for Applied Mathematics in Hunan, Xiangtan University, Hunan 411105, P. R. China†Key Laboratory of Intelligent Computing and Information, Processing of Ministry of Education, Xiangtan University, Hunan 411105, P. R. China
Vo V. Anh: ��School of Mathematical Sciences, Queensland University of Technology, GPO Box 2434, Brisbane, QLD 4001, Australia
Jin-Long Liu: National Center for Applied Mathematics in Hunan, Xiangtan University, Hunan 411105, P. R. China†Key Laboratory of Intelligent Computing and Information, Processing of Ministry of Education, Xiangtan University, Hunan 411105, P. R. China
An-Qi Peng: National Center for Applied Mathematics in Hunan, Xiangtan University, Hunan 411105, P. R. China†Key Laboratory of Intelligent Computing and Information, Processing of Ministry of Education, Xiangtan University, Hunan 411105, P. R. China

FRACTALS (fractals), 2023, vol. 31, issue 07, 1-15

Abstract: The fractal and small-word properties are two important properties of complex networks. In this paper, we propose a new random rewiring method to transform fractal networks into small-world networks. We theoretically prove that the proposed method can retain the degree of all nodes (hence the degree distribution) and the connectivity of the network. Further, we also theoretically prove that our method also retains the tree structure of tree graphs. Our method can transform many different types of fractal networks into small-world networks while the degree distribution and connectivity of these networks remain unchanged, demonstrating the generality of small-world networks. In addition, the method also works for other types of complex networks. The rewiring method proposed in this paper can be used in a broader range of applications of network analysis.

Keywords: Small-World Network; Fractal Network; Randomly Rewiring; Degree Distribution; Connectivity (search for similar items in EconPapers)
Date: 2023
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S0218348X23500895
Access to full text is restricted to subscribers

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wsi:fracta:v:31:y:2023:i:07:n:s0218348x23500895

Ordering information: This journal article can be ordered from

DOI: 10.1142/S0218348X23500895

Access Statistics for this article

FRACTALS (fractals) is currently edited by Tara Taylor

More articles in FRACTALS (fractals) from World Scientific Publishing Co. Pte. Ltd.
Bibliographic data for series maintained by Tai Tone Lim ().