{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,11]],"date-time":"2026-04-11T08:09:30Z","timestamp":1775894970348,"version":"3.50.1"},"reference-count":5,"publisher":"Wiley","issue":"3","license":[{"start":{"date-parts":[[2006,10,3]],"date-time":"2006-10-03T00:00:00Z","timestamp":1159833600000},"content-version":"vor","delay-in-days":7702,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Graph Theory"],"published-print":{"date-parts":[[1985,9]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>A Halin graph is a plane graph <jats:italic>H = T U C<\/jats:italic>, where <jats:italic>T<\/jats:italic> is a plane tree with no vertex of degree two and at least one vertex of degree three or more, and <jats:italic>C<\/jats:italic> is a cycle connecting the endvertices of <jats:italic>T<\/jats:italic> in the cyclic order determined by the embedding of <jats:italic>T.<\/jats:italic> We prove that such a graph on <jats:italic>n<\/jats:italic> vertices contains cycles of all lengths <jats:italic>l<\/jats:italic>, 3 \u2264 <jats:italic>l<\/jats:italic> <jats:italic>n<\/jats:italic>, except, possibly, for one even value <jats:italic>m<\/jats:italic> of <jats:italic>l<\/jats:italic>. We prove also that if the tree <jats:italic>T<\/jats:italic> contains no vertex of degree three then <jats:italic>G<\/jats:italic> is pancyclic.<\/jats:p>","DOI":"10.1002\/jgt.3190090311","type":"journal-article","created":{"date-parts":[[2007,5,29]],"date-time":"2007-05-29T07:09:24Z","timestamp":1180422564000},"page":"397-410","source":"Crossref","is-referenced-by-count":26,"title":["Lengths of cycles in halin graphs"],"prefix":"10.1002","volume":"9","author":[{"given":"J. A.","family":"Bondy","sequence":"first","affiliation":[]},{"given":"L.","family":"Lov\u00e1sz","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2006,10,3]]},"reference":[{"key":"e_1_2_1_2_2","series-title":"Colloq., Keszthely, 1973, dedicated to P. Erd\u00f6s on his 60th birthday","first-page":"181","volume-title":"Infinite and Finite Sets","author":"Bondy J. A.","year":"1975"},{"key":"e_1_2_1_3_2","series-title":"Proc. Conf., Oxford, 1969","first-page":"129","volume-title":"Combinatorial Mathematics and its Applications","author":"Halin R.","year":"1971"},{"key":"e_1_2_1_4_2","doi-asserted-by":"publisher","DOI":"10.1112\/plms\/s3-30.2.160"},{"key":"e_1_2_1_5_2","volume-title":"Notes from New York Graph Theory Day II","author":"Malkevitch J.","year":"1980"},{"key":"e_1_2_1_6_2","first-page":"33","volume-title":"Graphen und Netzwerke\u2014Theorie und Anwendung","author":"Skowro\u0144ska M.","year":"1982"}],"container-title":["Journal of Graph Theory"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1002%2Fjgt.3190090311","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/jgt.3190090311","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/jgt.3190090311","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,8,21]],"date-time":"2023-08-21T01:21:25Z","timestamp":1692580885000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/jgt.3190090311"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1985,9]]},"references-count":5,"journal-issue":{"issue":"3","published-print":{"date-parts":[[1985,9]]}},"alternative-id":["10.1002\/jgt.3190090311"],"URL":"https:\/\/doi.org\/10.1002\/jgt.3190090311","archive":["Portico"],"relation":{},"ISSN":["0364-9024","1097-0118"],"issn-type":[{"value":"0364-9024","type":"print"},{"value":"1097-0118","type":"electronic"}],"subject":[],"published":{"date-parts":[[1985,9]]}}}