{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,16]],"date-time":"2026-03-16T10:19:44Z","timestamp":1773656384664,"version":"3.50.1"},"reference-count":80,"publisher":"Oxford University Press (OUP)","issue":"5","license":[{"start":{"date-parts":[[2023,9,5]],"date-time":"2023-09-05T00:00:00Z","timestamp":1693872000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/academic.oup.com\/pages\/standard-publication-reuse-rights"}],"funder":[{"DOI":"10.13039\/501100000780","name":"European Union","doi-asserted-by":"publisher","award":["101039692"],"award-info":[{"award-number":["101039692"]}],"id":[{"id":"10.13039\/501100000780","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100000780","name":"European Union","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100000780","id-type":"DOI","asserted-by":"publisher"}]},{"name":"European Research Council Executive Agency"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2023,9,5]]},"abstract":"<jats:title>Abstract<\/jats:title>\n               <jats:p>We consider several families of network centrality measures induced by graph kernels, which include some well-known measures and many new ones. The Self-consistency and Bridge axioms, which appeared earlier in the literature, are closely related to certain kernels and one of the families. We obtain a necessary and sufficient condition for Self-consistency, a sufficient condition for the Bridge axiom, indicate specific measures that satisfy these axioms and show that under some additional conditions they are incompatible. PageRank centrality applied to undirected networks violates most conditions under study and has a property that according to some authors is \u2018hard to imagine\u2019 for a centrality measure. We explain this phenomenon. Adopting the Self-consistency or Bridge axiom leads to a drastic reduction in survey time in the culling method designed to select the most appropriate centrality measures.<\/jats:p>","DOI":"10.1093\/comnet\/cnad035","type":"journal-article","created":{"date-parts":[[2023,10,9]],"date-time":"2023-10-09T12:54:50Z","timestamp":1696856090000},"source":"Crossref","is-referenced-by-count":7,"title":["Selection of centrality measures using Self-consistency and Bridge axioms"],"prefix":"10.1093","volume":"11","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-8232-847X","authenticated-orcid":false,"given":"Pavel","family":"Chebotarev","sequence":"first","affiliation":[{"name":"Department of Mathematics, Technion\u2014Israel Institute of Technology, Haifa 3200003, Israel and Kharkevich Institute for Information Transmission Problems, RAS , Bol\u2019shoi Karetnyi per., 19 , Moscow 127051, Russia"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"286","published-online":{"date-parts":[[2023,10,6]]},"reference":[{"key":"2023100812265785700_cnad035-B1","doi-asserted-by":"crossref","first-page":"e0143111","DOI":"10.1371\/journal.pone.0143111","article-title":"CentiServer: A comprehensive resource, web-based application and R package for centrality analysis","volume":"10","author":"Jalili","year":"2015","journal-title":"PLoS ONE"},{"key":"2023100812265785700_cnad035-B2","first-page":"90","author":"Geisberger","year":"2008"},{"key":"2023100812265785700_cnad035-B3","first-page":"143","volume-title":"Joint IAPR International Workshops on Statistical Techniques in Pattern Recognition (SPR) and Structural and Syntactic Pattern Recognition (SSPR)","author":"Lockhart","year":"2016"},{"key":"2023100812265785700_cnad035-B4","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1038\/s41598-020-80946-2","article-title":"Quantifying individual influence in leading-following behavior of Bechstein\u2019s bats","volume":"11","author":"Mavrodiev","year":"2021","journal-title":"Sci. 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