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Through analyzing a mass of typical examples, we propose a new theory named \u201cvariant maximum matching\u201d which is superior to the old one. Finally, we present some typical examples to prove the correctness of our conclusions.<\/jats:p>","DOI":"10.1142\/s0218126615500875","type":"journal-article","created":{"date-parts":[[2015,4,13]],"date-time":"2015-04-13T04:21:47Z","timestamp":1428898907000},"page":"1550087","source":"Crossref","is-referenced-by-count":5,"title":["Controllability of Fractional-Order Directed Complex Networks, with Self Loop and Double Edge Structure"],"prefix":"10.1142","volume":"24","author":[{"given":"Hao","family":"Zhang","sequence":"first","affiliation":[{"name":"School of Electrical Engineering, University of Northwest A&amp;F University, Shaanxi Yangling 712100, P. R. 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