{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T11:45:46Z","timestamp":1753875946514,"version":"3.41.2"},"reference-count":38,"publisher":"Oxford University Press (OUP)","issue":"2","license":[{"start":{"date-parts":[[2025,3,17]],"date-time":"2025-03-17T00:00:00Z","timestamp":1742169600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by-nc\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2025,3,17]]},"abstract":"<jats:title>Abstract<\/jats:title>\n               <jats:p>Assortativity measures the tendency of a vertex to bond with another based on their structural or functional features. The assortativity coefficient was originally proposed to specify the node degree\u2013degree correlation for unweighted, undirected networks. This paper proposes a class of rank-based assortativity measures for weighted, directed networks, building upon and extending the work of Litvak and van der Hofstad. These new measures offer improved robustness to variations in edge weights, particularly in networks with extreme-valued edges, by reducing sensitivity to outliers in node connectivity patterns. Extensive simulation studies, based on the Erd\u00f6s\u2013R\u00e9nyi random network model and preferential attachment random networks, are employed to compare the robustness of the proposed measures with existing assortativity measures. Finally, the proposed assortativity measures are applied to the networks generated from the World Input\u2013Output Database, yielding insights that differ significantly from those obtained through existing methods.<\/jats:p>","DOI":"10.1093\/comnet\/cnaf002","type":"journal-article","created":{"date-parts":[[2025,3,17]],"date-time":"2025-03-17T17:02:43Z","timestamp":1742230963000},"source":"Crossref","is-referenced-by-count":0,"title":["Rank-based assortativity for weighted, directed networks"],"prefix":"10.1093","volume":"13","author":[{"given":"Ao","family":"Shen","sequence":"first","affiliation":[{"name":"Department of Statistics and Finance, School of Management, University of Science and Technology of China , 96 Jinzhai Road , Hefei, Anhui 230026,","place":["China"]}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Qunqiang","family":"Feng","sequence":"additional","affiliation":[{"name":"Department of Statistics and Finance, School of Management, University of Science and Technology of China , 96 Jinzhai Road , Hefei, Anhui 230026,","place":["China"]}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jun","family":"Yan","sequence":"additional","affiliation":[{"name":"Department of Statistics, University of Connecticut , 215 Glenbrook Road , Storrs, CT 06269,","place":["United States"]}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8211-5930","authenticated-orcid":false,"given":"Panpan","family":"Zhang","sequence":"additional","affiliation":[{"name":"Department of Biostatistics, Vanderbilt University Medical Center , 2525 West End Avenue , Nashville, TN 37203,","place":["United States"]}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"286","published-online":{"date-parts":[[2025,3,17]]},"reference":[{"key":"2025031717015812900_cnaf002-B1","doi-asserted-by":"crossref","first-page":"208701","DOI":"10.1103\/PhysRevLett.89.208701","article-title":"Assortative mixing in 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