{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,7]],"date-time":"2026-04-07T20:57:24Z","timestamp":1775595444094,"version":"3.50.1"},"reference-count":41,"publisher":"Informa UK Limited","issue":"4","content-domain":{"domain":["www.tandfonline.com"],"crossmark-restriction":true},"short-container-title":["Experimental Mathematics"],"published-print":{"date-parts":[[2018,10,2]]},"DOI":"10.1080\/10586458.2017.1320239","type":"journal-article","created":{"date-parts":[[2017,5,11]],"date-time":"2017-05-11T21:59:15Z","timestamp":1494539955000},"page":"454-471","update-policy":"https:\/\/doi.org\/10.1080\/tandf_crossmark_01","source":"Crossref","is-referenced-by-count":3,"title":["Relative Frequencies of Alternating and Nonalternating Prime Knots and Composite Knots in Random Knot Spaces"],"prefix":"10.1080","volume":"27","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-4411-3755","authenticated-orcid":false,"given":"Yuanan","family":"Diao","sequence":"first","affiliation":[{"name":"Department of Mathematics and Statistics, University of North Carolina at Charlotte, Charlotte, NC, USA"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2334-6229","authenticated-orcid":false,"given":"Claus","family":"Ernst","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Western Kentucky University, Bowling Green, KY, USA"}]},{"given":"Eric J.","family":"Rawdon","sequence":"additional","affiliation":[{"name":"Department of Mathematics, University of St. Thomas, Saint Paul, MN, USA"}]},{"given":"Uta","family":"Ziegler","sequence":"additional","affiliation":[{"name":"Department of Computer Science, Western Kentucky University, Bowling Green, KY, USA"}]}],"member":"301","published-online":{"date-parts":[[2017,5,11]]},"reference":[{"key":"cit0002","author":"Adams [Adams 04] C. C.","year":"2004","journal-title":"Providence, RI: American Mathematical Society"},{"key":"cit0003","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.032095099"},{"key":"cit0004","doi-asserted-by":"publisher","DOI":"10.1080\/10586458.2011.544581"},{"key":"cit0005","first-page":"101","author":"Brown [Brown et\u00a0al. 01] L. D.","year":"2001","journal-title":"Stat. Sci."},{"key":"cit0006","doi-asserted-by":"publisher","DOI":"10.1016\/S0166-8641(97)00211-3"},{"key":"cit0007","author":"Burde [Burde et\u00a0al. 14] G.","year":"2014","journal-title":"Knots, volume 5 of De Gruyter Studies in Mathematics"},{"key":"cit0008","doi-asserted-by":"publisher","DOI":"10.1002\/cpa.21480"},{"key":"cit0009","doi-asserted-by":"publisher","DOI":"10.1007\/s00222-002-0234-y"},{"key":"cit0010","doi-asserted-by":"publisher","DOI":"10.1214\/15-AAP1100"},{"key":"cit0011","doi-asserted-by":"publisher","DOI":"10.1142\/S0218216595000090"},{"key":"cit0012","doi-asserted-by":"publisher","DOI":"10.1016\/S0166-8641(97)00178-8"},{"key":"cit0013","doi-asserted-by":"publisher","DOI":"10.1142\/S0218216597000431"},{"issue":"1","key":"cit0014","first-page":"19","volume":"2","author":"Diao [Diao et\u00a0al. 14a] Y.","year":"2014","journal-title":"Mol. Math. Biol."},{"key":"cit0015","doi-asserted-by":"crossref","unstructured":"[Diao et\u00a0al. 16] Y. Diao, C. Ernst, A. Montemayor, E. J. Rawdon, and U. Ziegler. \u201cThe Knot Spectrum of Random Knot Spaces.\u201d Preprint, 2016.","DOI":"10.1515\/9783110571493-010"},{"key":"cit0016","doi-asserted-by":"publisher","DOI":"10.1088\/1751-8113\/44\/40\/405202"},{"key":"cit0017","doi-asserted-by":"publisher","DOI":"10.1088\/1751-8113\/45\/27\/275203"},{"key":"cit0018","doi-asserted-by":"publisher","DOI":"10.1088\/1751-8113\/45\/46\/465003"},{"key":"cit0019","doi-asserted-by":"publisher","DOI":"10.1088\/1751-8113\/48\/9\/095202"},{"key":"cit0020","doi-asserted-by":"publisher","DOI":"10.1088\/1742-6596\/544\/1\/012017"},{"key":"cit0021","doi-asserted-by":"publisher","DOI":"10.1142\/S0218216594000307"},{"key":"cit0022","first-page":"51","volume-title":"Progress in Knot Theory and Related Topics","author":"Ewing [Ewing and Millett 97] B.","year":"1997"},{"key":"cit0023","doi-asserted-by":"publisher","DOI":"10.2307\/2946626"},{"key":"cit0024","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.96.9.4769"},{"key":"cit0025","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.74.052101"},{"key":"cit0026","unstructured":"[Hoste and Thistlethwaite] J. Hoste and M. Thistlethwaite. Knotscape. Available online (http:\/\/www.math.utk.edu\/~morwen\/knotscape.html.) Program for computing topological information about knots."},{"key":"cit0027","doi-asserted-by":"publisher","DOI":"10.1007\/BF03025227"},{"key":"cit0028","doi-asserted-by":"publisher","DOI":"10.1038\/384142a0"},{"key":"cit0029","author":"Kawauchi [Kawauchi 96] A.","year":"1996","journal-title":"A Survey of Knot Theory"},{"key":"cit0001","unstructured":"[The Knot Atlas 17] The Knot Atlas. Available online (http:\/\/katlas.org), 2017."},{"key":"cit0030","first-page":"570","volume-title":"Geometric Topology (Athens, GA, 1993), volume 2 of AMS\/IP Stud. Adv. Math.","author":"Kusner [Kusner and Sullivan 97] R. B.","year":"1997"},{"key":"cit0031","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-0691-0"},{"key":"cit0032","doi-asserted-by":"publisher","DOI":"10.1016\/S0166-8641(97)00210-1"},{"key":"cit0033","volume-title":"\u201cKnot Theory.\u201d In Carus Mathematical Monographs","volume":"24","author":"Livingston [Livingston 93] C.","year":"1993"},{"key":"cit0034","doi-asserted-by":"publisher","DOI":"10.1016\/j.physrep.2011.03.003"},{"key":"cit0035","doi-asserted-by":"publisher","DOI":"10.1063\/1.2162886"},{"key":"cit0036","doi-asserted-by":"publisher","DOI":"10.1016\/S0021-9991(03)00026-3"},{"key":"cit0037","doi-asserted-by":"publisher","DOI":"10.1016\/0166-218X(89)90005-X"},{"key":"cit0038","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.0611320104"},{"key":"cit0039","doi-asserted-by":"publisher","DOI":"10.1088\/0305-4470\/21\/7\/030"},{"key":"cit0040","doi-asserted-by":"publisher","DOI":"10.2140\/pjm.1998.182.329"},{"key":"cit0041","unstructured":"[Thistlethwaite] M. Thistlethwaite. \u201cUnraveller.\u201d Code provided through private communication."}],"container-title":["Experimental Mathematics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.tandfonline.com\/doi\/pdf\/10.1080\/10586458.2017.1320239","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,8,23]],"date-time":"2023-08-23T14:34:13Z","timestamp":1692801253000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.tandfonline.com\/doi\/full\/10.1080\/10586458.2017.1320239"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,5,11]]},"references-count":41,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2018,10,2]]}},"alternative-id":["10.1080\/10586458.2017.1320239"],"URL":"https:\/\/doi.org\/10.1080\/10586458.2017.1320239","relation":{},"ISSN":["1058-6458","1944-950X"],"issn-type":[{"value":"1058-6458","type":"print"},{"value":"1944-950X","type":"electronic"}],"subject":[],"published":{"date-parts":[[2017,5,11]]},"assertion":[{"value":"The publishing and review policy for this title is described in its Aims & Scope.","order":1,"name":"peerreview_statement","label":"Peer Review Statement"},{"value":"http:\/\/www.tandfonline.com\/action\/journalInformation?show=aimsScope&journalCode=uexm20","URL":"http:\/\/www.tandfonline.com\/action\/journalInformation?show=aimsScope&journalCode=uexm20","order":2,"name":"aims_and_scope_url","label":"Aim & Scope"},{"value":"2017-05-11","order":3,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}