{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,14]],"date-time":"2025-10-14T11:12:19Z","timestamp":1760440339687},"reference-count":0,"publisher":"World Scientific Pub Co Pte Lt","issue":"02","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Comput. Geom. Appl."],"published-print":{"date-parts":[[1991,6]]},"abstract":"<jats:p> Given is a set S of n points, each colored with one of k\u22653 colours. We say that a triangle defined by three points of S is 3-colored if its vertices have distinct colours. We prove in this paper that the problem of constructing the boundary of the union T(S) of all such 3-colored triangles can be done in optimal O(n log n) time. <\/jats:p>","DOI":"10.1142\/s021819599100013x","type":"journal-article","created":{"date-parts":[[2004,11,26]],"date-time":"2004-11-26T20:43:01Z","timestamp":1101501781000},"page":"187-196","source":"Crossref","is-referenced-by-count":5,"title":["COMPUTING THE UNION OF 3-COLORED TRIANGLES"],"prefix":"10.1142","volume":"01","author":[{"given":"JEAN-DANIEL","family":"BOISSONNAT","sequence":"first","affiliation":[{"name":"INRIA, 2004 Route des Lucioles,  B.P.109, 06561 Valbonne cedex, France"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"OLIVER","family":"DEVILLERS","sequence":"additional","affiliation":[{"name":"INRIA, 2004 Route des Lucioles,  B.P.109, 06561 Valbonne cedex, France"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"FRANCO P.","family":"PREPARATA","sequence":"additional","affiliation":[{"name":"Department of Computer Science,  Brown University, Providence, RI 02912, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2012,1,25]]},"container-title":["International Journal of Computational Geometry &amp; Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S021819599100013X","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T18:33:39Z","timestamp":1565116419000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S021819599100013X"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1991,6]]},"references-count":0,"journal-issue":{"issue":"02","published-online":{"date-parts":[[2012,1,25]]},"published-print":{"date-parts":[[1991,6]]}},"alternative-id":["10.1142\/S021819599100013X"],"URL":"https:\/\/doi.org\/10.1142\/s021819599100013x","relation":{},"ISSN":["0218-1959","1793-6357"],"issn-type":[{"value":"0218-1959","type":"print"},{"value":"1793-6357","type":"electronic"}],"subject":[],"published":{"date-parts":[[1991,6]]}}}