{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,6,4]],"date-time":"2024-06-04T21:58:41Z","timestamp":1717538321522},"reference-count":4,"publisher":"Wiley","issue":"4","license":[{"start":{"date-parts":[[2021,10,23]],"date-time":"2021-10-23T00:00:00Z","timestamp":1634947200000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"funder":[{"DOI":"10.13039\/501100002261","name":"Russian Foundation for Basic Research","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100002261","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Journal of Graph Theory"],"published-print":{"date-parts":[[2022,4]]},"abstract":"Abstract<\/jats:title>In the language of hypergraphs, our main result is a Dirac\u2010type bound: We prove that every 3\u2010connected hypergraph with has a hamiltonian Berge cycle. This is sharp and refines a conjecture by Jackson from 1981 (in the language of bipartite graphs). Our proofs are in the language of bipartite graphs, since the incidence graph of each hypergraph is bipartite.<\/jats:p>","DOI":"10.1002\/jgt.22762","type":"journal-article","created":{"date-parts":[[2021,10,23]],"date-time":"2021-10-23T11:43:36Z","timestamp":1634989416000},"page":"758-782","update-policy":"http:\/\/dx.doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Longest cycles in 3\u2010connected hypergraphs and bipartite graphs"],"prefix":"10.1002","volume":"99","author":[{"given":"Alexandr","family":"Kostochka","sequence":"first","affiliation":[{"name":"Department of Mathematics University of Illinois at Urbana\u2013Champaign Urbana Illinois USA"},{"name":"Department of Mathematics Sobolev Institute of Mathematics Novosibirsk Russia"}]},{"given":"Mikhail","family":"Lavrov","sequence":"additional","affiliation":[{"name":"Department of Mathematics Kennesaw State University Marietta Georgia USA"}]},{"given":"Ruth","family":"Luo","sequence":"additional","affiliation":[{"name":"Department of Mathematics University of California La Jolla San Diego California USA"}]},{"given":"Dara","family":"Zirlin","sequence":"additional","affiliation":[{"name":"Department of Mathematics University of Illinois at Urbana\u2013Champaign Urbana Illinois USA"}]}],"member":"311","published-online":{"date-parts":[[2021,10,23]]},"reference":[{"key":"e_1_2_7_2_1","doi-asserted-by":"publisher","DOI":"10.1016\/0095-8956(81)90050-2"},{"key":"e_1_2_7_3_1","first-page":"361","volume-title":"Combinatorial Mathematics","author":"Jackson B.","year":"1983"},{"key":"e_1_2_7_4_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.dam.2019.07.011"},{"key":"e_1_2_7_5_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.jctb.2020.06.007"}],"container-title":["Journal of Graph Theory"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/jgt.22762","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/full-xml\/10.1002\/jgt.22762","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/jgt.22762","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,8,26]],"date-time":"2023-08-26T00:04:07Z","timestamp":1693008247000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/jgt.22762"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,10,23]]},"references-count":4,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2022,4]]}},"alternative-id":["10.1002\/jgt.22762"],"URL":"https:\/\/doi.org\/10.1002\/jgt.22762","archive":["Portico"],"relation":{},"ISSN":["0364-9024","1097-0118"],"issn-type":[{"value":"0364-9024","type":"print"},{"value":"1097-0118","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021,10,23]]},"assertion":[{"value":"2021-04-09","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2021-08-20","order":1,"name":"accepted","label":"Accepted","group":{"name":"publication_history","label":"Publication History"}},{"value":"2021-10-23","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}