{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,10,23]],"date-time":"2023-10-23T13:42:30Z","timestamp":1698068550855},"reference-count":8,"publisher":"Wiley","issue":"3","license":[{"start":{"date-parts":[[2006,10,4]],"date-time":"2006-10-04T00:00:00Z","timestamp":1159920000000},"content-version":"vor","delay-in-days":6973,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Graph Theory"],"published-print":{"date-parts":[[1987,9]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>Let <jats:italic>G<\/jats:italic> be a graph of order <jats:italic>n<\/jats:italic> \u2a7e 3. We prove that if <jats:italic>G<\/jats:italic> is <jats:italic>k<\/jats:italic>\u2010connected (<jats:italic>k<\/jats:italic> \u2a7e 2) and the degree sum of <jats:italic>k<\/jats:italic> + 1 mutually independent vertices of <jats:italic>G<\/jats:italic> is greater than 1\/3(<jats:italic>k<\/jats:italic> + 1)(<jats:italic>n<\/jats:italic> + 1), then the line graph <jats:italic>L(G)<\/jats:italic> of <jats:italic>G<\/jats:italic> is pancyclic. We also prove that if <jats:italic>G<\/jats:italic> is such that the degree sum of every 2 adjacent vertices is at least <jats:italic>n<\/jats:italic>, then <jats:italic>L(G)<\/jats:italic> is panconnected with some exceptions.<\/jats:p>","DOI":"10.1002\/jgt.3190110313","type":"journal-article","created":{"date-parts":[[2007,6,9]],"date-time":"2007-06-09T05:27:55Z","timestamp":1181366875000},"page":"385-398","source":"Crossref","is-referenced-by-count":3,"title":["Pancyclic and panconnected line graphs"],"prefix":"10.1002","volume":"11","author":[{"given":"Abdelhamid","family":"Benhocine","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jean\u2010Luc","family":"Fouquet","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2006,10,4]]},"reference":[{"key":"e_1_2_1_2_2","unstructured":"A.BenhocineandJ. L.Fouquet The Chv\u0301atal\u2010Erd\u00f6s condition for pancyclic line\u2010graphs. To appear in Discrete Math."},{"key":"e_1_2_1_3_2","unstructured":"J. A.Bondy Longest paths and cycles in graphs of high degree. Research report CORR 80\u201016 Department Combinatorics and Optimization Faculty of Mathematics University of Waterloo Waterloo Ontario Canada (1980)."},{"key":"e_1_2_1_4_2","doi-asserted-by":"publisher","DOI":"10.1016\/0095-8956(76)90064-2"},{"key":"e_1_2_1_5_2","first-page":"131","article-title":"Hamiltonian\u2010like indices of graphs","volume":"15","author":"Clark L. H.","year":"1983","journal-title":"Ars Combinat."},{"key":"e_1_2_1_6_2","unstructured":"P.Fraisse Cycles et chemins dominants preprint."},{"key":"e_1_2_1_7_2","doi-asserted-by":"publisher","DOI":"10.4153\/CMB-1965-051-3"},{"key":"e_1_2_1_8_2","first-page":"157","volume-title":"Studies in Pure Math","author":"Nash\u2010Williams C. St. J. A.","year":"1971"},{"key":"e_1_2_1_9_2","doi-asserted-by":"publisher","DOI":"10.1002\/jgt.3190100105"}],"container-title":["Journal of Graph Theory"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1002%2Fjgt.3190110313","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/jgt.3190110313","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,10,22]],"date-time":"2023-10-22T18:28:33Z","timestamp":1697999313000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/jgt.3190110313"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1987,9]]},"references-count":8,"journal-issue":{"issue":"3","published-print":{"date-parts":[[1987,9]]}},"alternative-id":["10.1002\/jgt.3190110313"],"URL":"https:\/\/doi.org\/10.1002\/jgt.3190110313","archive":["Portico"],"relation":{},"ISSN":["0364-9024","1097-0118"],"issn-type":[{"value":"0364-9024","type":"print"},{"value":"1097-0118","type":"electronic"}],"subject":[],"published":{"date-parts":[[1987,9]]}}}