English

Randomness criteria in binary visibility graph perspective

Chaotic Dynamics 2010-04-14 v1 Data Structures and Algorithms Data Analysis, Statistics and Probability

Abstract

By means of a binary visibility graph, we present a novel method to study random binary sequences. The behavior of the some topological properties of the binary visibility graph, such as the degree distribution, the clustering coefficient, and the mean path length have been investigated. Several examples are then provided to show that the numerical simulations confirm the accuracy of the theorems for finite random binary sequences. Finally, in this paper we propose, for the first time, three topological properties of the binary visibility graph as a randomness criteria.

Keywords

Cite

@article{arxiv.1004.2189,
  title  = {Randomness criteria in binary visibility graph perspective},
  author = {S. Ahadpour and Y. Sadra},
  journal= {arXiv preprint arXiv:1004.2189},
  year   = {2010}
}

Comments

13 pages

R2 v1 2026-06-21T15:09:51.107Z