{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,11,13]],"date-time":"2023-11-13T00:35:22Z","timestamp":1699835722378},"reference-count":1,"publisher":"Wiley","issue":"4","license":[{"start":{"date-parts":[[2006,10,3]],"date-time":"2006-10-03T00:00:00Z","timestamp":1159833600000},"content-version":"vor","delay-in-days":10533,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Graph Theory"],"published-print":{"date-parts":[[1977,12]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>The following theorem is proved: Let <jats:italic>G<\/jats:italic> be a graph with <jats:italic>p<\/jats:italic> \u2265 3 points such that for some <jats:italic>n<\/jats:italic>, 3 \u2264 <jats:italic>n<\/jats:italic> \u2264 <jats:italic>p<\/jats:italic>, any <jats:italic>n<\/jats:italic> points lie on a unique smallest connected subgraph. Then <jats:italic>G<\/jats:italic> = <jats:italic>C<\/jats:italic><jats:sub><jats:italic>n<\/jats:italic><\/jats:sub>+1 or <jats:italic>G<\/jats:italic> is a tree, and conversely.<\/jats:p>","DOI":"10.1002\/jgt.3190010409","type":"journal-article","created":{"date-parts":[[2007,5,29]],"date-time":"2007-05-29T06:09:53Z","timestamp":1180418993000},"page":"335-337","source":"Crossref","is-referenced-by-count":0,"title":["A property of trees in terms of unique connected subgraphs"],"prefix":"10.1002","volume":"1","author":[{"given":"Stephen T.","family":"Hedetniemi","sequence":"first","affiliation":[]},{"given":"Diane M.","family":"Spresser","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2006,10,3]]},"reference":[{"key":"e_1_2_1_2_2","doi-asserted-by":"crossref","first-page":"32","DOI":"10.21236\/AD0705364","volume-title":"Graph Theory","author":"Harary F.","year":"1969"}],"container-title":["Journal of Graph Theory"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1002%2Fjgt.3190010409","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/jgt.3190010409","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,11,12]],"date-time":"2023-11-12T09:52:17Z","timestamp":1699782737000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/jgt.3190010409"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1977,12]]},"references-count":1,"journal-issue":{"issue":"4","published-print":{"date-parts":[[1977,12]]}},"alternative-id":["10.1002\/jgt.3190010409"],"URL":"https:\/\/doi.org\/10.1002\/jgt.3190010409","archive":["Portico"],"relation":{},"ISSN":["0364-9024","1097-0118"],"issn-type":[{"value":"0364-9024","type":"print"},{"value":"1097-0118","type":"electronic"}],"subject":[],"published":{"date-parts":[[1977,12]]}}}