{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,16]],"date-time":"2026-03-16T10:09:34Z","timestamp":1773655774741,"version":"3.50.1"},"reference-count":2,"publisher":"Wiley","issue":"2","license":[{"start":{"date-parts":[[2006,10,6]],"date-time":"2006-10-06T00:00:00Z","timestamp":1160092800000},"content-version":"vor","delay-in-days":4237,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Graph Theory"],"published-print":{"date-parts":[[1995,3]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>The following results are proved in this paper. Let <jats:italic>G<\/jats:italic> be a 2<jats:italic>k<\/jats:italic>\u2010edge\u2010connected eulerian graph. (i) For every set {<jats:italic>e<\/jats:italic><jats:sub>1<\/jats:sub>, <jats:italic>e<\/jats:italic><jats:sub>2<\/jats:sub>,  \u20db, <jats:italic>e<\/jats:italic><jats:sub>2<jats:italic>k<\/jats:italic>+1<\/jats:sub>} \u2286 <jats:italic>E<\/jats:italic>(<jats:italic>G<\/jats:italic>) there is an eulerian trail <jats:italic>T<\/jats:italic> of the form <jats:italic>e<\/jats:italic><jats:sub>1<\/jats:sub>, <jats:italic>e<\/jats:italic><jats:sub>2<\/jats:sub>,  \u20db, <jats:italic>e<\/jats:italic><jats:sub>2<jats:italic>k<\/jats:italic>+1<\/jats:sub>,  \u20db. (ii) For every set <jats:italic>E<\/jats:italic>* = {<jats:italic>e<\/jats:italic><jats:sub>1<\/jats:sub>, <jats:italic>e<\/jats:italic><jats:sub>2<\/jats:sub>,  \u20db, <jats:italic>e<\/jats:italic><jats:sub><jats:italic>k<\/jats:italic><\/jats:sub>} \u2286 <jats:italic>E<\/jats:italic>(<jats:italic>G<\/jats:italic>) there is an eulerian trail <jats:italic>T<\/jats:italic> = <jats:italic>e<\/jats:italic><jats:sub>1<\/jats:sub>,  \u20db, <jats:italic>e<\/jats:italic><jats:sub>2<\/jats:sub>,  \u20db, <jats:italic>e<\/jats:italic><jats:sub><jats:italic>k<\/jats:italic><\/jats:sub>,  \u20db in which the elements of <jats:italic>E<\/jats:italic>* are traversed in accordance with a prescribed orientation. \u00a9 1995 John Wiley &amp; Sons, Inc.<\/jats:p>","DOI":"10.1002\/jgt.3190190202","type":"journal-article","created":{"date-parts":[[2007,5,26]],"date-time":"2007-05-26T13:59:56Z","timestamp":1180187996000},"page":"137-144","source":"Crossref","is-referenced-by-count":4,"title":["An eulerian trail traversing specified edges in given order"],"prefix":"10.1002","volume":"19","author":[{"given":"Cai","family":"Mao\u2010cheng","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Herbert","family":"Fleischner","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2006,10,6]]},"reference":[{"key":"e_1_2_1_2_2","volume-title":"Selected Topics in Graph Theory 2","author":"Beineke L. W.","year":"1983"},{"key":"e_1_2_1_3_2","doi-asserted-by":"publisher","DOI":"10.1002\/jgt.3190120314"}],"container-title":["Journal of Graph Theory"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1002%2Fjgt.3190190202","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/jgt.3190190202","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,10,26]],"date-time":"2023-10-26T14:17:21Z","timestamp":1698329841000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/jgt.3190190202"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1995,3]]},"references-count":2,"journal-issue":{"issue":"2","published-print":{"date-parts":[[1995,3]]}},"alternative-id":["10.1002\/jgt.3190190202"],"URL":"https:\/\/doi.org\/10.1002\/jgt.3190190202","archive":["Portico"],"relation":{},"ISSN":["0364-9024","1097-0118"],"issn-type":[{"value":"0364-9024","type":"print"},{"value":"1097-0118","type":"electronic"}],"subject":[],"published":{"date-parts":[[1995,3]]}}}