Figure - PMC

Skip to main content

An official website of the United States government

Here's how you know

Here's how you know

Official websites use .gov
A .gov website belongs to an official government organization in the United States.

Secure .gov websites use HTTPS
A lock ( ) or https:// means you've safely connected to the .gov website. Share sensitive information only on official, secure websites.

View full-text article in PMC

. 2019 Jul 12;9:10133. doi: 10.1038/s41598-019-46507-y

Search in PMC
Search in PubMed
View in NLM Catalog
Add to search

© The Author(s) 2019

Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/.

PMC Copyright notice

Relative difference of the outbreak size Δr versus the percentage of initial spreaders f₀, where $Δ r = (R_{c} - R_{s} / R_{s})$ , R_c and R_s are the final number of recovered nodes for the centrality measure under test and the standard centrality, respectively. The Degree (a), Betweenness (b), Closeness (c) and Eigenvector (d) centrality measures are compared to their extensions derived from the Overlapping Modular Centrality. Synthetic networks generated by the LFR algorithm with different community structure strength are used (the value of their mixing coefficient is equal to 0.1, 0.4 and 0.6). We set the proportion of overlapping nodes on to 10% of the size of the network and the community membership om to 10% of the total number of communities. Each value on the curves is obtained by averaging the results of 200 SIR simulations per method and fraction of initially infected nodes. Δr is positive if the centrality under test is more effective than the standard centrality.