{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,4]],"date-time":"2022-04-04T21:36:49Z","timestamp":1649108209665},"reference-count":3,"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":[[2012,9]]},"abstract":"<jats:p> In this article we study proper labelings (or valuations) of the edges of a graph by integers, such that the sums of the values taken on the edges incident to each vertex (the weight of this vertex) are all distinct. We look for the minimum of max (v) among the possible valuations v for some particular classes of graphs. <\/jats:p>","DOI":"10.1142\/s1793830912500371","type":"journal-article","created":{"date-parts":[[2012,8,6]],"date-time":"2012-08-06T04:31:23Z","timestamp":1344227483000},"page":"1250037","source":"Crossref","is-referenced-by-count":0,"title":["SOME RESULTS ON (p, g,\u2211)-VALUATION OF GRAPHS"],"prefix":"10.1142","volume":"04","author":[{"given":"MARYVONNE","family":"MAH\u00c9O","sequence":"first","affiliation":[{"name":"U.M.R. 86-23, L.R.I., B\u00e2t., 490, Universit\u00e9 Paris-Sud, 91405 Orsay, France"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"JEAN-FRAN\u00c7OIS","family":"SACL\u00c9","sequence":"additional","affiliation":[{"name":"U.M.R. 86-23, L.R.I., B\u00e2t., 490, Universit\u00e9 Paris-Sud, 91405 Orsay, France"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2012,8,6]]},"reference":[{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1002\/(SICI)1097-0118(199710)26:2<73::AID-JGT2>3.0.CO;2-C"},{"key":"rf3","first-page":"187","volume":"64","author":"Chartrand G.","journal-title":"Congr. Numer."},{"key":"rf4","unstructured":"J.\u00a0Lehel, Graph Theory, Combinatorics, and Applications (1991)\u00a0pp. 765\u2013782."}],"container-title":["Discrete Mathematics, Algorithms and Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S1793830912500371","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T18:43:38Z","timestamp":1565117018000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S1793830912500371"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012,8,6]]},"references-count":3,"journal-issue":{"issue":"03","published-online":{"date-parts":[[2012,8,6]]},"published-print":{"date-parts":[[2012,9]]}},"alternative-id":["10.1142\/S1793830912500371"],"URL":"https:\/\/doi.org\/10.1142\/s1793830912500371","relation":{},"ISSN":["1793-8309","1793-8317"],"issn-type":[{"value":"1793-8309","type":"print"},{"value":"1793-8317","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012,8,6]]}}}