dorsal/arxiv
View SchemaStatistical Self-Similar Properties of Complex Networks
| Authors | Chang-Yong Lee, Sunghwan Jung |
|---|---|
| Categories | |
| ArXiv ID | physics/0605205 |
| URL | https://arxiv.org/abs/physics/0605205 |
| DOI | 10.1103/PhysRevE.73.066102 |
Abstract
It has been shown that many complex networks shared distinctive features, which differ in many ways from the random and the regular networks. Although these features capture important characteristics of complex networks, their applicability depends on the type of networks. To unravel ubiquitous characteristics that complex networks may have in common, we adopt the clustering coefficient as the probability measure, and present a systematic analysis of various types of complex networks from the perspective of statistical self-similarity. We find that the probability distribution of the clustering coefficient is best characterized by the multifractal; moreover, the support of the measure had a fractal dimension. These two features enable us to describe complex networks in a unified way; at the same time, offer unforeseen possibilities to comprehend complex networks.
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"abstract": "It has been shown that many complex networks shared distinctive features,\nwhich differ in many ways from the random and the regular networks. Although\nthese features capture important characteristics of complex networks, their\napplicability depends on the type of networks. To unravel ubiquitous\ncharacteristics that complex networks may have in common, we adopt the\nclustering coefficient as the probability measure, and present a systematic\nanalysis of various types of complex networks from the perspective of\nstatistical self-similarity. We find that the probability distribution of the\nclustering coefficient is best characterized by the multifractal; moreover, the\nsupport of the measure had a fractal dimension. These two features enable us to\ndescribe complex networks in a unified way; at the same time, offer unforeseen\npossibilities to comprehend complex networks.",
"arxiv_id": "physics/0605205",
"authors": [
"Chang-Yong Lee",
"Sunghwan Jung"
],
"categories": [
"physics.soc-ph"
],
"doi": "10.1103/PhysRevE.73.066102",
"title": "Statistical Self-Similar Properties of Complex Networks",
"url": "https://arxiv.org/abs/physics/0605205"
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