{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,2,23]],"date-time":"2024-02-23T11:11:11Z","timestamp":1708686671233},"reference-count":2,"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":9620,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Graph Theory"],"published-print":{"date-parts":[[1980,6]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>We give graceful numberings to the following graphs: (a) the union of <jats:italic>n K<\/jats:italic><jats:sub>4<\/jats:sub> having one edge in common, in other words the join of <jats:italic>K<\/jats:italic><jats:sub>2<\/jats:sub> and the union of <jats:italic>n<\/jats:italic> disjoint <jats:italic>K<\/jats:italic><jats:sub>2<\/jats:sub> and (b) the union of <jats:italic>n C<\/jats:italic><jats:sub>4<\/jats:sub> having one edge in common, in other words the product of <jats:italic>K<\/jats:italic><jats:sub>2<\/jats:sub> and <jats:italic>K<\/jats:italic><jats:sub>1,<jats:italic>n<\/jats:italic><\/jats:sub>, with <jats:italic>n<\/jats:italic> + 1 not a multiple of 4.<\/jats:p>","DOI":"10.1002\/jgt.3190040214","type":"journal-article","created":{"date-parts":[[2007,5,29]],"date-time":"2007-05-29T06:25:47Z","timestamp":1180419947000},"page":"247-250","source":"Crossref","is-referenced-by-count":9,"title":["Two sets of graceful graphs"],"prefix":"10.1002","volume":"4","author":[{"given":"Charles","family":"Delorme","sequence":"first","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2006,10,3]]},"reference":[{"key":"e_1_2_1_2_2","first-page":"18","volume-title":"Radio Antennae and French Windmills, Proceedings of the One Day Combinatorics Conference, Open University, May 1978","author":"Bermond J. C.","year":"1979"},{"key":"e_1_2_1_3_2","article-title":"Strongly graceful graphs","author":"Mah\u00e9o M.","journal-title":"Discrete Math."}],"container-title":["Journal of Graph Theory"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1002%2Fjgt.3190040214","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/jgt.3190040214","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,11,12]],"date-time":"2023-11-12T08:20:50Z","timestamp":1699777250000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/jgt.3190040214"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1980,6]]},"references-count":2,"journal-issue":{"issue":"2","published-print":{"date-parts":[[1980,6]]}},"alternative-id":["10.1002\/jgt.3190040214"],"URL":"https:\/\/doi.org\/10.1002\/jgt.3190040214","archive":["Portico"],"relation":{},"ISSN":["0364-9024","1097-0118"],"issn-type":[{"value":"0364-9024","type":"print"},{"value":"1097-0118","type":"electronic"}],"subject":[],"published":{"date-parts":[[1980,6]]}}}