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A weighted cycle [Formula: see text] is called maximum if [Formula: see text] for any [Formula: see text]. In this paper, we give some properties of the Perron vector for the maximum weighted graphs and then determine the maximum weighted cycle in [Formula: see text]. <\/jats:p>","DOI":"10.1142\/s179383091650021x","type":"journal-article","created":{"date-parts":[[2016,1,14]],"date-time":"2016-01-14T11:25:10Z","timestamp":1452770710000},"page":"1650021","source":"Crossref","is-referenced-by-count":1,"title":["The spectral radius of maximum weighted cycle"],"prefix":"10.1142","volume":"08","author":[{"given":"Lu","family":"Lu","sequence":"first","affiliation":[{"name":"College of Mathematics and System Science, Xinjiang University, Urumqi 830046, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Qiongxiang","family":"Huang","sequence":"additional","affiliation":[{"name":"College of Mathematics and System Science, Xinjiang University, Urumqi 830046, P. R. 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