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How small is it? Comparing indices of small worldliness

Bibliographic Data

ID7994097
AuthorsZ P Neal (0000-0003-3076-4995, Michigan State University, corresponding author)
Year2017
Volume5
Issue1
Pages30-44
Publication date2017-03-01
Open AccessYes
TypeARTICLE
VenueNetwork Science (JOURNAL)
Journal identifiersISSN: 2050-1250 • E-ISSN: 2050-1242
PublisherCambridge University Press (PUBLISHER • US)
DOI10.1017/nws.2017.5
OpenAlexW2604390070
LanguageEN
Citations received7
References cited30

Many studies have attempted to determine whether an observed network exhibits a so-called “small-world structure.” Such determinations have often relied on a conceptual definition of small worldliness proposed by Watts and Strogatz in their seminal 1998 paper, but recently several quantitative indices of network small worldliness have emerged. This paper reviews and compares three such indices—the small-world quotient ( Q ), a small-world metric (ω), and the small-world index(SWI)—in the canonical Watts–Strogatz re-wiring model and in four real-world networks. These analyses suggest that researchers should avoid Q , and identify considerations that should guide the choice between ω and SWI

Combinatorics · Complex network · Index (typography · Metric (unit · Operations management · Pure mathematics · Quotient · Small-world network · Statistics · Complex Network Analysis Techniques · Computer Science · Engineering · Mathematics · Opinion Dynamics and Social Influence · Psychology · Social Capital and Networks · Artificial Intelligence

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Citations per year1.4
Citation span2021 - 2025 (5)
Highly citedNo

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