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Small-World Propensity and Weighted Brain Networks

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Muldoon, Sarah Feldt, Bridgeford, Eric W., Bassett, Danielle S.·2016·Scientific Reports

Abstract

Quantitative descriptions of network structure can provide fundamental insights into the function of interconnected complex systems. Small-world structure, diagnosed by high local clustering yet short average path length between any two nodes, promotes information flow in coupled systems, a key function that can differ across conditions or between groups. However, current techniques to quantify small-worldness are density dependent and neglect important features such as the strength of network connections, limiting their application in real-world systems. Here, we address both limitations with a novel metric called the Small-World Propensity (SWP). In its binary instantiation, the SWP provides an unbiased assessment of small-world structure in networks of varying densities. We extend this concept to the case of weighted brain networks by developing (i) a standardized procedure for generating weighted small-world networks, (ii) a weighted extension of the SWP, and (iii) a method for mapping observed brain network data onto the theoretical model. In applying these techniques to compare real-world brain networks, we uncover the surprising fact that the canonical biological small-world network, the C. elegans neuronal network, has strikingly low SWP. These metrics, models, and maps form a coherent toolbox for the assessment and comparison of architectural properties in brain networks.

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Metadata

Authors
Muldoon, S. F., Bridgeford, E. W., & Bassett, D. S.
Venue
Scientific Reports
Published
2016-02-25
Volume
6
Issue
1
Pages
22057-22057
ISSN
2045-2322 (ISSN-L)
OpenAlex
W2411622228
Cited by
304
References
67
FWCI
15.18
Type
journal article
Language
en
Open access
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Muldoon, S. F., Bridgeford, E. W., & Bassett, D. S. (2016). Small-World Propensity and Weighted Brain Networks. Scientific Reports. https://doi.org/10.1038/srep22057

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