{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,2]],"date-time":"2026-05-02T03:38:15Z","timestamp":1777693095694,"version":"3.51.4"},"reference-count":4,"publisher":"Wiley","issue":"2","license":[{"start":{"date-parts":[[2006,10,3]],"date-time":"2006-10-03T00:00:00Z","timestamp":1159833600000},"content-version":"vor","delay-in-days":8890,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Graph Theory"],"published-print":{"date-parts":[[1982,6]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>The generalized Petersen graph <jats:italic>P<\/jats:italic>(6<jats:italic>k<\/jats:italic> + 3, 2) has exactly 3 Hamiltonian cycles for <jats:italic>k<\/jats:italic> \u2265 0, but for <jats:italic>k<\/jats:italic> \u2265 2 is not uniquely edge colorable. This disproves a conjecture of Greenwell and Kronk [1].<\/jats:p>","DOI":"10.1002\/jgt.3190060218","type":"journal-article","created":{"date-parts":[[2007,5,29]],"date-time":"2007-05-29T06:55:02Z","timestamp":1180421702000},"page":"219-221","source":"Crossref","is-referenced-by-count":11,"title":["Cubic graphs with three Hamiltonian cycles are not always uniquely edge colorable"],"prefix":"10.1002","volume":"6","author":[{"given":"Andrew","family":"Thomason","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2006,10,3]]},"reference":[{"key":"e_1_2_1_2_2","doi-asserted-by":"publisher","DOI":"10.4153\/CMB-1973-086-2"},{"key":"e_1_2_1_3_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0167-5060(08)70511-9"},{"key":"e_1_2_1_4_2","unstructured":"W. T.Tutte Hamiltonian circuits Colloquio Internazionale sulle Teorie Combinatorie. Atti dei Convegni Lincei 17 Accad. Naz. Lincei Roma I (1976)193\u2013199."},{"key":"e_1_2_1_5_2","unstructured":"R. J.Wilson Problem 2. In Proc. 5th British Comb. Conf. 1975. Utilitas Mathematica Winnipeg (1976)696."}],"container-title":["Journal of Graph Theory"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1002%2Fjgt.3190060218","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/jgt.3190060218","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,11,12]],"date-time":"2023-11-12T05:21:40Z","timestamp":1699766500000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/jgt.3190060218"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1982,6]]},"references-count":4,"journal-issue":{"issue":"2","published-print":{"date-parts":[[1982,6]]}},"alternative-id":["10.1002\/jgt.3190060218"],"URL":"https:\/\/doi.org\/10.1002\/jgt.3190060218","archive":["Portico"],"relation":{},"ISSN":["0364-9024","1097-0118"],"issn-type":[{"value":"0364-9024","type":"print"},{"value":"1097-0118","type":"electronic"}],"subject":[],"published":{"date-parts":[[1982,6]]}}}