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Jayendra, Nath BANDYOPADHYAY
복잡계 이론물리 연구단
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Multifractal analysis of eigenvectors of small-world networks

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Title
Multifractal analysis of eigenvectors of small-world networks
Author(s)
Mishra, Ankit; Jayendra N. Bandyopadhyay; Sarika Jalan
Publication Date
2021-03
Journal
CHAOS SOLITONS & FRACTALS, v.144
Publisher
PERGAMON-ELSEVIER SCIENCE LTD
Abstract
Many real-world complex systems have small-world topology characterized by the high clustering of nodes and short path lengths. It is well-known that higher clustering drives localization while shorter path length supports delocalization of the eigenvectors of networks. Using multifractals technique, we investigate localization properties of the eigenvectors of the adjacency matrices of small-world networks constructed using Watts-Strogatz algorithm. We find that the central part of the eigenvalue spectrum is characterized by strong multifractality whereas the tail part of the spectrum have D-q -> 1. Before the onset of the small-world transition, an increase in the random connections leads to an enhancement in the eigenvectors localization, whereas just after the onset, the eigenvectors show a gradual decrease in the localization. We have verified an existence of sharp change in the correlation dimension at the localization-delocalization transition. (C) 2021 Elsevier Ltd. All rights reserved.
URI
https://pr.ibs.re.kr/handle/8788114/9898
DOI
10.1016/j.chaos.2021.110745
ISSN
0960-0779
Appears in Collections:
Center for Theoretical Physics of Complex Systems(복잡계 이론물리 연구단) > 1. Journal Papers (저널논문)
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