{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,17]],"date-time":"2026-02-17T11:51:16Z","timestamp":1771329076482,"version":"3.50.1"},"reference-count":8,"publisher":"Wiley","issue":"3","license":[{"start":{"date-parts":[[2015,4,14]],"date-time":"2015-04-14T00:00:00Z","timestamp":1428969600000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"funder":[{"DOI":"10.13039\/501100000266","name":"Engineering and Physical Sciences Research Council","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100000266","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Graph Theory"],"published-print":{"date-parts":[[2016,3]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>Given a graph <jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" xlink:href=\"graphic\/jgt21872-math-0001.png\" xlink:title=\"urn:x-wiley:03649024:media:jgt21872:jgt21872-math-0001\"\/> and a colouring <jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" xlink:href=\"graphic\/jgt21872-math-0002.png\" xlink:title=\"urn:x-wiley:03649024:media:jgt21872:jgt21872-math-0002\"\/>, the induced colour of a vertex <jats:italic>v<\/jats:italic> is the sum of the colours at the edges incident with <jats:italic>v<\/jats:italic>. If all the induced colours of vertices of <jats:italic>G<\/jats:italic> are distinct, the colouring is called antimagic. If <jats:italic>G<\/jats:italic> has a bijective antimagic colouring <jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" xlink:href=\"graphic\/jgt21872-math-0003.png\" xlink:title=\"urn:x-wiley:03649024:media:jgt21872:jgt21872-math-0003\"\/>, the graph <jats:italic>G<\/jats:italic> is called antimagic. A conjecture of Hartsfield and Ringel states that all connected graphs other than <jats:italic>K<\/jats:italic><jats:sub>2<\/jats:sub> are antimagic. Alon, Kaplan, Lev, Roddity and Yuster proved this conjecture for graphs with minimum degree at least <jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" xlink:href=\"graphic\/jgt21872-math-0004.png\" xlink:title=\"urn:x-wiley:03649024:media:jgt21872:jgt21872-math-0004\"\/> for some constant <jats:italic>c<\/jats:italic>; we improve on this result, proving the conjecture for graphs with average degree at least some constant <jats:italic>d<\/jats:italic><jats:sub>0<\/jats:sub>.<\/jats:p>","DOI":"10.1002\/jgt.21872","type":"journal-article","created":{"date-parts":[[2015,4,14]],"date-time":"2015-04-14T13:41:03Z","timestamp":1429018863000},"page":"236-261","source":"Crossref","is-referenced-by-count":22,"title":["Graphs of Large Linear Size Are Antimagic"],"prefix":"10.1002","volume":"81","author":[{"given":"Tom","family":"Eccles","sequence":"first","affiliation":[{"name":"DEPARTMENT OF PURE MATHEMATICS AND MATHEMATICAL STATISTICS UNIVERSITY OF CAMBRIDGE  CAMBRIDGE CB3 0WB UNITED KINGDOM"}]}],"member":"311","published-online":{"date-parts":[[2015,4,14]]},"reference":[{"key":"e_1_2_8_2_1","doi-asserted-by":"publisher","DOI":"10.1002\/jgt.20027"},{"key":"e_1_2_8_3_1","doi-asserted-by":"publisher","DOI":"10.1017\/S0963548300004260"},{"key":"e_1_2_8_4_1","doi-asserted-by":"publisher","DOI":"10.1002\/jgt.20347"},{"key":"e_1_2_8_5_1","article-title":"A dynamic survey of graph labeling","author":"Gallian J. 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