Fractal networks with Sturmian structure

Cheng Zeng, Yumei Xue and Yuke Huang

Physica A: Statistical Mechanics and its Applications, 2021, vol. 574, issue C

Abstract: Many real complex networks behave similarly with the scale-free and the small-world properties. In this paper, we create a special hierarchical network with the Fibonacci word. This network is self-similar on some scales due to Fibonacci word’s recurrence property. Based on the construction of the graph, we study the clustering coefficient, the average path length and the cumulative degree distribution of our network. These results show the scale-free and the small-world effects of the evolving network. Moreover, the monotony of the standardized average path length and the average clustering coefficient is coincided with that of the Fibonacci word by applying the balance property of the Sturmian word. We think the Sturmian word can be an useful tool to describe some complex networks.

Keywords: Scale-free; Small-world; Complex networks; Sturmian words; Self-similarity (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437121002491
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

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:eee:phsmap:v:574:y:2021:i:c:s0378437121002491

DOI: 10.1016/j.physa.2021.125977

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().