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Discrete Math."],"published-print":{"date-parts":[[2022,9]]},"abstract":"<jats:p>Let $p=\\frac{1+\\varepsilon}{n}$. It is known that if $N=\\varepsilon^3n\\to\\infty$, then with high probability (w.h.p.) $G_{n,p}$ has a unique giant largest component. We show that if in addition, $\\varepsilon=\\varepsilon(n)\\to 0$, then w.h.p. the cover time of $G_{n,p}$ is asymptotic to $n\\log^2N$; previously Barlow, Ding, Nachmias, and Peres had shown this up to constant multiplicative factors.<\/jats:p>","DOI":"10.1137\/21m1441468","type":"journal-article","created":{"date-parts":[[2022,7,21]],"date-time":"2022-07-21T13:35:53Z","timestamp":1658410553000},"page":"1687-1710","source":"Crossref","is-referenced-by-count":0,"title":["On the Cover Time of the Emerging Giant"],"prefix":"10.1137","volume":"36","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-8481-5615","authenticated-orcid":true,"given":"Alan M.","family":"Frieze","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3680-1817","authenticated-orcid":true,"given":"Wesley","family":"Pegden","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Tomasz","family":"Tkocz","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2022,7,21]]},"reference":[{"key":"atypb1","doi-asserted-by":"publisher","DOI":"10.1017\/S0963548310000489"},{"key":"atypb2","doi-asserted-by":"publisher","DOI":"10.1016\/S0195-6698(80)80030-8"},{"key":"atypb3","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-03886-5"},{"key":"atypb4","doi-asserted-by":"publisher","DOI":"10.1002\/rsa.20151"},{"key":"atypb5","doi-asserted-by":"publisher","DOI":"10.1137\/S0895480103428478"},{"key":"atypb6","doi-asserted-by":"publisher","DOI":"10.1002\/rsa.20320"},{"key":"atypb7","doi-asserted-by":"publisher","DOI":"10.1016\/j.jctb.2011.11.001"},{"key":"atypb8","doi-asserted-by":"publisher","DOI":"10.1002\/rsa.20201"},{"key":"atypb9","doi-asserted-by":"publisher","DOI":"10.1002\/rsa.20573"},{"key":"atypb10","volume-title":"Princeton Math. 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