{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,18]],"date-time":"2026-03-18T00:54:11Z","timestamp":1773795251852,"version":"3.50.1"},"reference-count":64,"publisher":"Public Library of Science (PLoS)","issue":"1","license":[{"start":{"date-parts":[[2021,1,28]],"date-time":"2021-01-28T00:00:00Z","timestamp":1611792000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/publicdomain\/zero\/1.0\/"}],"funder":[{"DOI":"10.13039\/501100002701","name":"Ministry of Education","doi-asserted-by":"publisher","award":["NRF-2017S1A3A2067165"],"award-info":[{"award-number":["NRF-2017S1A3A2067165"]}],"id":[{"id":"10.13039\/501100002701","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["www.plosone.org"],"crossmark-restriction":false},"short-container-title":["PLoS ONE"],"abstract":"<jats:p>Unlike many traditional measures of centrality based on<jats:italic>paths<\/jats:italic>that do not allow any repeated nodes or lines, we propose a new measure of centrality based on<jats:italic>walks<\/jats:italic>,<jats:italic>walk-betweenness<\/jats:italic>, that allows any number of repeated nodes or lines. To illustrate the value of walk-betweenness, we examine the transmission of syphilis in Chicago area and the diffusion of microfinance in 43 rural Indian villages. Walk-betweenness allows us to identify hidden bridging communities in Chicago that were essential in the transmission dynamics. We also find that village leaders with high walk-betweenness are more likely to accelerate the rate of microfinance take-up among their followers, outperforming other traditional centrality measures in regression analyses.<\/jats:p>","DOI":"10.1371\/journal.pone.0245476","type":"journal-article","created":{"date-parts":[[2021,1,28]],"date-time":"2021-01-28T19:39:50Z","timestamp":1611862790000},"page":"e0245476","update-policy":"https:\/\/doi.org\/10.1371\/journal.pone.corrections_policy","source":"Crossref","is-referenced-by-count":9,"title":["A measure of centrality in cyclic diffusion processes: Walk-betweenness"],"prefix":"10.1371","volume":"16","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-3822-5777","authenticated-orcid":true,"given":"Yoosik","family":"Youm","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0248-3088","authenticated-orcid":true,"given":"Byungkyu","family":"Lee","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Junsol","family":"Kim","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"340","published-online":{"date-parts":[[2021,1,28]]},"reference":[{"issue":"4","key":"pone.0245476.ref001","doi-asserted-by":"crossref","first-page":"253","DOI":"10.2307\/2785979","article-title":"The diffusion of an innovation among physicians.","volume":"20","author":"J Coleman","year":"1957","journal-title":"Sociometry"},{"issue":"6","key":"pone.0245476.ref002","doi-asserted-by":"crossref","first-page":"1287","DOI":"10.1086\/228667","article-title":"Social contagion and innovation: Cohesion versus structural equivalence","volume":"92","author":"RS Burt","year":"1987","journal-title":"American journal of Sociology"},{"key":"pone.0245476.ref003","doi-asserted-by":"crossref","DOI":"10.1017\/CBO9780511527524","volume-title":"A structural theory of social influence:","author":"NE Friedkin","year":"1998"},{"issue":"1","key":"pone.0245476.ref004","doi-asserted-by":"crossref","first-page":"281","DOI":"10.1111\/0081-1750.00067","article-title":"9. 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