Complex networks modeled on the Sierpinski gasket

Anbo Le, Fei Gao, Lifeng Xi and Shuhua Yin

Physica A: Statistical Mechanics and its Applications, 2015, vol. 436, issue C, 646-657

Abstract: In this paper, we use the Sierpinski gasket to construct evolving networks Gt whose node set is the solid regular triangles in the construction of the Sierpinski gasket up to the stage t and any two nodes are neighbors if and only if the corresponding solid triangles are in contact with each other on boundary. Using the encoding method, we show that our evolving networks are scale-free (power-law degree distribution) and have the small-world effect (small average path length and high clustering coefficient).

Keywords: Complex network; Fractal; Sierpinski gasket; Scale-free; Small-world (search for similar items in EconPapers)
Date: 2015
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (9)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S037843711500463X
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:436:y:2015:i:c:p:646-657

DOI: 10.1016/j.physa.2015.05.048

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 ().