{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,2,12]],"date-time":"2024-02-12T23:26:28Z","timestamp":1707780388901},"reference-count":9,"publisher":"Cambridge University Press (CUP)","issue":"5","license":[{"start":{"date-parts":[[2021,3,9]],"date-time":"2021-03-09T00:00:00Z","timestamp":1615248000000},"content-version":"unspecified","delay-in-days":0,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":["cambridge.org"],"crossmark-restriction":true},"short-container-title":["Combinator. Probab. Comp."],"published-print":{"date-parts":[[2021,9]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>It has been conjectured that, for any fixed <jats:inline-formula><jats:alternatives><jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" mime-subtype=\"png\" xlink:href=\"S0963548320000243_inline1.png\" \/><jats:tex-math>\\[{\\text{r}} \\geqslant 2\\]<\/jats:tex-math><\/jats:alternatives><\/jats:inline-formula> and sufficiently large <jats:italic>n<\/jats:italic>, there is a monochromatic Hamiltonian Berge-cycle in every <jats:inline-formula><jats:alternatives><jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" mime-subtype=\"png\" xlink:href=\"S0963548320000243_inline2.png\" \/><jats:tex-math>\\[({\\text{r}} - 1)\\]<\/jats:tex-math><\/jats:alternatives><\/jats:inline-formula>-colouring of the edges of <jats:inline-formula><jats:alternatives><jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" mime-subtype=\"png\" xlink:href=\"S0963548320000243_inline3.png\" \/><jats:tex-math>\\[{\\text{K}}_{\\text{n}}^{\\text{r}}\\]<\/jats:tex-math><\/jats:alternatives><\/jats:inline-formula>, the complete <jats:italic>r<\/jats:italic>-uniform hypergraph on <jats:italic>n<\/jats:italic> vertices. In this paper we prove this conjecture.<\/jats:p>","DOI":"10.1017\/s0963548320000243","type":"journal-article","created":{"date-parts":[[2021,3,9]],"date-time":"2021-03-09T05:53:18Z","timestamp":1615269198000},"page":"654-669","update-policy":"http:\/\/dx.doi.org\/10.1017\/policypage","source":"Crossref","is-referenced-by-count":2,"title":["A proof of a conjecture of Gy\u00e1rf\u00e1s, Lehel, S\u00e1rk\u00f6zy and Schelp on Berge-cycles"],"prefix":"10.1017","volume":"30","author":[{"given":"G. R.","family":"Omidi","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"56","published-online":{"date-parts":[[2021,3,9]]},"reference":[{"key":"S0963548320000243_ref4","doi-asserted-by":"publisher","DOI":"10.1007\/s00026-010-0058-1"},{"key":"S0963548320000243_ref2","doi-asserted-by":"publisher","DOI":"10.1016\/j.jctb.2007.07.002"},{"key":"S0963548320000243_ref1","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-349-03521-2"},{"key":"S0963548320000243_ref7","doi-asserted-by":"publisher","DOI":"10.1016\/j.disc.2016.09.032"},{"key":"S0963548320000243_ref6","doi-asserted-by":"publisher","DOI":"10.1017\/S096354830800967X"},{"key":"S0963548320000243_ref3","doi-asserted-by":"publisher","DOI":"10.1007\/s00373-010-0908-y"},{"key":"S0963548320000243_ref8","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcta.2013.09.003"},{"key":"S0963548320000243_ref5","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcta.2005.02.005"},{"key":"S0963548320000243_ref9","doi-asserted-by":"publisher","DOI":"10.1112\/plms\/s2-30.1.264"}],"container-title":["Combinatorics, Probability and Computing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0963548320000243","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,8,6]],"date-time":"2021-08-06T13:36:04Z","timestamp":1628256964000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S0963548320000243\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,3,9]]},"references-count":9,"journal-issue":{"issue":"5","published-print":{"date-parts":[[2021,9]]}},"alternative-id":["S0963548320000243"],"URL":"https:\/\/doi.org\/10.1017\/s0963548320000243","relation":{},"ISSN":["0963-5483","1469-2163"],"issn-type":[{"value":"0963-5483","type":"print"},{"value":"1469-2163","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021,3,9]]},"assertion":[{"value":"\u00a9 The Author(s), 2021. Published by Cambridge University Press","name":"copyright","label":"Copyright","group":{"name":"copyright_and_licensing","label":"Copyright and Licensing"}}]}}