{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,3]],"date-time":"2022-04-03T14:52:20Z","timestamp":1648997540436},"reference-count":8,"publisher":"World Scientific Pub Co Pte Lt","issue":"03","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Discrete Math. Algorithm. Appl."],"published-print":{"date-parts":[[2010,9]]},"abstract":"<jats:p> The group coloring of graphs is a new kind of graph coloring, introduced by Jaeger et al. in 1992, and the group chromatic number of a graph G is denoted by \u03c7<jats:sub>g<\/jats:sub> (G). In this note, we prove that for a positive integer k, a graph G with \u03c7<jats:sub>g<\/jats:sub> (G)&gt;k can be obtained from any complete bipartite graph G<jats:sub>0<\/jats:sub> with \u03c7<jats:sub>g<\/jats:sub>(G<jats:sub>0<\/jats:sub>)&gt;k by certain types of graph operations. <\/jats:p>","DOI":"10.1142\/s1793830910000772","type":"journal-article","created":{"date-parts":[[2010,10,12]],"date-time":"2010-10-12T04:44:00Z","timestamp":1286858640000},"page":"433-436","source":"Crossref","is-referenced-by-count":1,"title":["HAJ\u00d3S-LIKE THEOREM FOR GROUP COLORING"],"prefix":"10.1142","volume":"02","author":[{"given":"XINHUI","family":"AN","sequence":"first","affiliation":[{"name":"College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"BAOYINDURENG","family":"WU","sequence":"additional","affiliation":[{"name":"College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2012,4,5]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-349-03521-2"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1016\/0012-365X(95)00350-6"},{"key":"rf3","first-page":"116","volume":"10","author":"Haj\u00f3s G.","journal-title":"Wiss. Z. Martin Luther Univ. Halle\u2013Wittenberg Nature Reihe"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1016\/0095-8956(92)90016-Q"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1016\/j.disc.2004.07.001"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1007\/s00373-005-0625-0"},{"key":"rf7","first-page":"299","volume":"62","author":"Lai H.","journal-title":"ARS Combinatoria"},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.1007\/s003730200009"}],"container-title":["Discrete Mathematics, Algorithms and Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S1793830910000772","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T21:34:53Z","timestamp":1565127293000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S1793830910000772"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010,9]]},"references-count":8,"journal-issue":{"issue":"03","published-online":{"date-parts":[[2012,4,5]]},"published-print":{"date-parts":[[2010,9]]}},"alternative-id":["10.1142\/S1793830910000772"],"URL":"https:\/\/doi.org\/10.1142\/s1793830910000772","relation":{},"ISSN":["1793-8309","1793-8317"],"issn-type":[{"value":"1793-8309","type":"print"},{"value":"1793-8317","type":"electronic"}],"subject":[],"published":{"date-parts":[[2010,9]]}}}