{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,8]],"date-time":"2025-10-08T16:11:09Z","timestamp":1759939869662,"version":"3.37.3"},"reference-count":23,"publisher":"World Scientific Pub Co Pte Ltd","issue":"07n08","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Advs. Complex Syst."],"published-print":{"date-parts":[[2019,11]]},"abstract":"<jats:p> We propose a new measure to quantify the impact of a node [Formula: see text] in controlling a directed network. This measure, called \u201ccontrol contribution\u201d [Formula: see text], combines the probability for node [Formula: see text] to appear in a set of driver nodes and the probability for other nodes to be controlled by [Formula: see text]. To calculate [Formula: see text], we propose an optimization method based on random samples of minimum sets of drivers. Using real-world and synthetic networks, we find very broad distributions of [Formula: see text]. Ranking nodes according to their [Formula: see text] values allows us to identify the top driver nodes that can control most of the network. We show that this ranking is superior to rankings based on other control-based measures. We find that control contribution indeed contains new information that cannot be traced back to degree, control capacity or control range of a node. <\/jats:p>","DOI":"10.1142\/s0219525919500140","type":"journal-article","created":{"date-parts":[[2019,12,27]],"date-time":"2019-12-27T02:22:06Z","timestamp":1577413326000},"page":"1950014","source":"Crossref","is-referenced-by-count":12,"title":["CONTROL CONTRIBUTION IDENTIFIES TOP DRIVER NODES IN COMPLEX NETWORKS"],"prefix":"10.1142","volume":"22","author":[{"given":"YAN","family":"ZHANG","sequence":"first","affiliation":[{"name":"Chair of Systems Design, ETH Zurich, Weinbergstrasse 58, 8092 Zurich, Switzerland"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"ANTONIOS","family":"GARAS","sequence":"additional","affiliation":[{"name":"Chair of Systems Design, ETH Zurich, Weinbergstrasse 58, 8092 Zurich, Switzerland"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1551-6491","authenticated-orcid":false,"given":"FRANK","family":"SCHWEITZER","sequence":"additional","affiliation":[{"name":"Chair of Systems Design, ETH Zurich, Weinbergstrasse 58, 8092 Zurich, Switzerland"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2019,12,27]]},"reference":[{"volume-title":"Introduction to Dynamic Systems Theory, Models, and Applications","year":"1979","author":"Luenberger DG","key":"S0219525919500140BIB001"},{"key":"S0219525919500140BIB002","doi-asserted-by":"publisher","DOI":"10.1103\/RevModPhys.88.035006"},{"key":"S0219525919500140BIB003","doi-asserted-by":"publisher","DOI":"10.1038\/nature10011"},{"key":"S0219525919500140BIB004","doi-asserted-by":"publisher","DOI":"10.1038\/srep01647"},{"key":"S0219525919500140BIB005","doi-asserted-by":"publisher","DOI":"10.1088\/1367-2630\/16\/10\/103036"},{"key":"S0219525919500140BIB006","first-page":"83","volume":"6","author":"Srihari S.","year":"2013","journal-title":"IEEE\/ACM Trans. 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