{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,11,13]],"date-time":"2023-11-13T00:12:10Z","timestamp":1699834330629},"reference-count":5,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2006,10,3]],"date-time":"2006-10-03T00:00:00Z","timestamp":1159833600000},"content-version":"vor","delay-in-days":8982,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Graph Theory"],"published-print":{"date-parts":[[1982,3]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>A strongly harmonious labeling is the nonmodular version of a harmonious labeling. The windmill graph <jats:italic>K<\/jats:italic><jats:sup>(<jats:italic>t<\/jats:italic><\/jats:sup>)<jats:sub><jats:italic>n<\/jats:italic><\/jats:sub> is the graph consisting of <jats:italic>t<\/jats:italic> copies of the complete graph <jats:italic>K<jats:sub>n<\/jats:sub><\/jats:italic> with a vertex in common. It is shown that, for <jats:italic>t<\/jats:italic> \u2265 1, <jats:italic>K<\/jats:italic><jats:sup>(<jats:italic>t<\/jats:italic><\/jats:sup>)<jats:sub><jats:italic>n<\/jats:italic><\/jats:sub> is strongly harmonious and so harmonious by drawing on partitions already available from the construction of cyclic neofields. Other irregular windmill graphs can be shown to be strongly harmonious in a similar way.<\/jats:p>","DOI":"10.1002\/jgt.3190060110","type":"journal-article","created":{"date-parts":[[2007,5,29]],"date-time":"2007-05-29T06:48:53Z","timestamp":1180421333000},"page":"85-87","source":"Crossref","is-referenced-by-count":10,"title":["Harmonious labelings of windmill graphs and related graphs"],"prefix":"10.1002","volume":"6","author":[{"given":"D. Frank","family":"Hsu","sequence":"first","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2006,10,3]]},"reference":[{"key":"e_1_2_1_2_2","unstructured":"J. J.Chang D. F.Hsu andD. G.Rogers Additive variations on a graceful theme: some results on harmonious and other related graphs. To appear."},{"key":"e_1_2_1_3_2","unstructured":"J. R.Doner CIP\u2010neofields and Combinatorial Designs. Ph.D. Thesis The University of Michigan 1972."},{"key":"e_1_2_1_4_2","article-title":"On constant weight codes and harmonious graphs","author":"Graham R. L.","journal-title":"Utilitas Math."},{"key":"e_1_2_1_5_2","first-page":"382","article-title":"On additive bases and harmonious graphs","volume":"4","author":"Graham R. L.","year":"1980","journal-title":"SIAD"},{"key":"e_1_2_1_6_2","doi-asserted-by":"crossref","DOI":"10.1007\/BFb0089021","volume-title":"Cyclic Neofields and Combinatorial Designs. Lecture Notes in Math. No. 824","author":"Hsu D. F.","year":"1980"}],"container-title":["Journal of Graph Theory"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1002%2Fjgt.3190060110","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/jgt.3190060110","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,11,12]],"date-time":"2023-11-12T05:14:47Z","timestamp":1699766087000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/jgt.3190060110"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1982,3]]},"references-count":5,"journal-issue":{"issue":"1","published-print":{"date-parts":[[1982,3]]}},"alternative-id":["10.1002\/jgt.3190060110"],"URL":"https:\/\/doi.org\/10.1002\/jgt.3190060110","archive":["Portico"],"relation":{},"ISSN":["0364-9024","1097-0118"],"issn-type":[{"value":"0364-9024","type":"print"},{"value":"1097-0118","type":"electronic"}],"subject":[],"published":{"date-parts":[[1982,3]]}}}