{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,10,23]],"date-time":"2023-10-23T12:22:10Z","timestamp":1698063730830},"reference-count":8,"publisher":"Wiley","issue":"3","license":[{"start":{"date-parts":[[2006,10,5]],"date-time":"2006-10-05T00:00:00Z","timestamp":1160006400000},"content-version":"vor","delay-in-days":6305,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Graph Theory"],"published-print":{"date-parts":[[1989,7]]},"abstract":"Abstract<\/jats:title>We prove that a 2\u2010connected graph G<\/jats:italic> of order p<\/jats:italic> is hamiltonian if for all distinct vertices u<\/jats:italic> and v<\/jats:italic>, dist(u,v<\/jats:italic>) = 2 implies that |N(u<\/jats:italic>) U N(v<\/jats:italic>)| \u2a7e (2p<\/jats:italic> \u2010 1)\/3. We also demonstrate hamiltonian\u2010connected and traceability properties in graphs under similar conditions.<\/jats:p>","DOI":"10.1002\/jgt.3190130309","type":"journal-article","created":{"date-parts":[[2007,5,26]],"date-time":"2007-05-26T12:26:35Z","timestamp":1180182395000},"page":"335-352","source":"Crossref","is-referenced-by-count":14,"title":["The effects of distance and neighborhood union conditions on hamiltonian properties in graphs"],"prefix":"10.1002","volume":"13","author":[{"given":"Terri England","family":"Lindquester","sequence":"first","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2006,10,5]]},"reference":[{"key":"e_1_2_1_2_2","doi-asserted-by":"publisher","DOI":"10.1016\/0012-365X(76)90078-9"},{"key":"e_1_2_1_3_2","volume-title":"Graphs & Digraphs","author":"Chartrand G.","year":"1986"},{"key":"e_1_2_1_4_2","doi-asserted-by":"publisher","DOI":"10.1016\/0095-8956(84)90054-6"},{"key":"e_1_2_1_5_2","unstructured":"R. J.Faudree Ronald J.Gould Michael S.Jacobson andLindaM. Lesniak Neighborhood closures for graphs. Preprint."},{"key":"e_1_2_1_6_2","doi-asserted-by":"publisher","DOI":"10.1002\/jgt.3190110413"},{"key":"e_1_2_1_7_2","article-title":"Neighborhood unions and Hamiltonian properties in graphs","author":"Faudree R. J.","journal-title":"J. Combinat. Theory Ser. B"},{"key":"e_1_2_1_8_2","first-page":"55","article-title":"Neighborhood conditions and edge disjoint Hamiltonian cycles","volume":"59","author":"Faudree R. J.","year":"1987","journal-title":"Congressus Numeratum"},{"key":"e_1_2_1_9_2","doi-asserted-by":"publisher","DOI":"10.2307\/2308928"}],"container-title":["Journal of Graph Theory"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1002%2Fjgt.3190130309","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/jgt.3190130309","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,10,22]],"date-time":"2023-10-22T13:28:15Z","timestamp":1697981295000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/jgt.3190130309"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1989,7]]},"references-count":8,"journal-issue":{"issue":"3","published-print":{"date-parts":[[1989,7]]}},"alternative-id":["10.1002\/jgt.3190130309"],"URL":"https:\/\/doi.org\/10.1002\/jgt.3190130309","archive":["Portico"],"relation":{},"ISSN":["0364-9024","1097-0118"],"issn-type":[{"value":"0364-9024","type":"print"},{"value":"1097-0118","type":"electronic"}],"subject":[],"published":{"date-parts":[[1989,7]]}}}