Share This Article:

Dimensional Measurement of Complete-connective Network under the Condition of Particle’s Fission and Growth at a Constant Rate

Abstract Full-Text HTML Download Download as PDF (Size:148KB) PP. 42-45
DOI: 10.4236/jsea.2012.512B009    2,748 Downloads   3,847 Views  

ABSTRACT

We construct a complete-connective regular network based on Self-replication Space and the structural principles of cantor set and Koch curve. A new definition of dimension is proposed in the paper, and we also investigate a simplified method to calculate the dimension of two regular networks. By the study results, we can get a extension: the formation of Euclidean space may be built by the process of the Big Bang's continuously growing at a constant rate of three times.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

J. Wang and B. Hu, "Dimensional Measurement of Complete-connective Network under the Condition of Particle’s Fission and Growth at a Constant Rate," Journal of Software Engineering and Applications, Vol. 5 No. 12B, 2012, pp. 42-45. doi: 10.4236/jsea.2012.512B009.

References

[1] Song Chao-ming, Gallos L K, Havlin S,et al. How to calculate the fractal dimension of a complex network: The box covering algorithm [J]. Journal of Statistical Mechanics, 2007
[2] Song Chao-ming, Havlin S, Makse H A. Self-similarity of complex networks[J].Nature, 2005, 433: 392-395
[3] Song Chao-ming,Havlin S,Makse H A.Origins of fractality in the growth of complex networks[J].Nature Physics,2006,2:275-281.
[4] Kim J S, Goh K-I, Kahng B, et al. A box-covering algorithm for fractal scaling in scale-free networks[J]. Chaos, 2007, 17(2)

  
comments powered by Disqus

Copyright © 2018 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.