Self-similarity in fractal and non-fractal networks
DC Field | Value | Language |
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dc.contributor.author | Kim, J. S. | - |
dc.contributor.author | Kahng, B. | - |
dc.contributor.author | Kim, D. | - |
dc.contributor.author | Goh, K. -I. | - |
dc.date.accessioned | 2021-09-09T11:40:29Z | - |
dc.date.available | 2021-09-09T11:40:29Z | - |
dc.date.created | 2021-06-15 | - |
dc.date.issued | 2008-02 | - |
dc.identifier.issn | 0374-4884 | - |
dc.identifier.uri | https://scholar.korea.ac.kr/handle/2021.sw.korea/124172 | - |
dc.description.abstract | We study the origin of scale invariance (SI) of the degree distribution in scale-free (SF) networks with a degree exponent gamma under coarse graining. A varying number of vertices belonging to a community or a box in a fractal analysis is grouped into a supernode, where the box mass M follows a power-law distribution, P-m(M) similar to M-eta. The renormalized degree k' of a supernode scales with its box mass M as k' similar to M-theta. The two exponents eta and theta can be nontrivial as n not equal gamma and theta < 1. They act as relevant parameters in determining the self-similarity, i.e., the SI of the degree distribution, as follows: The self-similarity appears either when gamma <= eta or under the condition theta = (eta - 1)/(gamma - 1) when gamma > eta, irrespective of whether the original SF network is fractal or non-fractal. Thus, fractality and self-similarity are disparate notions in SF networks. | - |
dc.language | English | - |
dc.language.iso | en | - |
dc.publisher | KOREAN PHYSICAL SOC | - |
dc.title | Self-similarity in fractal and non-fractal networks | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Goh, K. -I. | - |
dc.identifier.doi | 10.3938/jkps.52.350 | - |
dc.identifier.scopusid | 2-s2.0-40049086804 | - |
dc.identifier.wosid | 000253259400029 | - |
dc.identifier.bibliographicCitation | JOURNAL OF THE KOREAN PHYSICAL SOCIETY, v.52, no.2, pp.350 - 356 | - |
dc.relation.isPartOf | JOURNAL OF THE KOREAN PHYSICAL SOCIETY | - |
dc.citation.title | JOURNAL OF THE KOREAN PHYSICAL SOCIETY | - |
dc.citation.volume | 52 | - |
dc.citation.number | 2 | - |
dc.citation.startPage | 350 | - |
dc.citation.endPage | 356 | - |
dc.type.rims | ART | - |
dc.type.docType | Article | - |
dc.identifier.kciid | ART001224624 | - |
dc.description.journalClass | 1 | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.description.journalRegisteredClass | kci | - |
dc.relation.journalResearchArea | Physics | - |
dc.relation.journalWebOfScienceCategory | Physics, Multidisciplinary | - |
dc.subject.keywordAuthor | scale-free network | - |
dc.subject.keywordAuthor | scale invariance | - |
dc.subject.keywordAuthor | coarse-graining | - |
dc.subject.keywordAuthor | fractality | - |
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