{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,14]],"date-time":"2025-10-14T11:22:50Z","timestamp":1760440970529},"reference-count":8,"publisher":"World Scientific Pub Co Pte Lt","issue":"05","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Comput. Geom. Appl."],"published-print":{"date-parts":[[2010,10]]},"abstract":"<jats:p> Let R and B be two disjoint sets of red points and blue points in the plane, respectively, such that no three points of R \u222a B are collinear, and let a,b and g be positive integers. We show that if ag \u2264 |R| &lt; (a + 1)g and bg \u2264 |B| &lt; (b + 1)g, then we can subdivide the plane into g convex polygons so that every open convex polygon contains exactly a red points and b blue points and that the remaining points lie on the boundary of the subdivision. This is a generalization of equitable subdivision of ag red points and bg blue points in the plane. <\/jats:p>","DOI":"10.1142\/s0218195910003426","type":"journal-article","created":{"date-parts":[[2010,11,1]],"date-time":"2010-11-01T09:26:48Z","timestamp":1288603608000},"page":"527-541","source":"Crossref","is-referenced-by-count":5,"title":["BALANCED SUBDIVISIONS WITH BOUNDARY CONDITION OF TWO SETS OF POINTS IN THE PLANE"],"prefix":"10.1142","volume":"20","author":[{"given":"M.","family":"KANO","sequence":"first","affiliation":[{"name":"Department of Computer and Information Sciences, Ibaraki University (), Hitachi, Ibaraki 316-8511, Japan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"MIYUKI","family":"UNO","sequence":"additional","affiliation":[{"name":"University Education Center, Ibaraki University, Hitachi, Ibaraki 316-8511, Japan"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2012,4,30]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1007\/s00454-001-0003-5"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1007\/s4540010065"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1201\/9781420035315"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1016\/S0925-7721(99)00024-3"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1142\/S0218195905001671"},{"key":"rf7","first-page":"551","volume":"25","author":"Kaneko A.","journal-title":"Discr. Comput. Geom. Algorith. Combin."},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.1090\/conm\/342\/06134"},{"key":"rf10","doi-asserted-by":"publisher","DOI":"10.1007\/s003730200011"}],"container-title":["International Journal of Computational Geometry &amp; Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218195910003426","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T03:37:34Z","timestamp":1565149054000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218195910003426"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010,10]]},"references-count":8,"journal-issue":{"issue":"05","published-online":{"date-parts":[[2012,4,30]]},"published-print":{"date-parts":[[2010,10]]}},"alternative-id":["10.1142\/S0218195910003426"],"URL":"https:\/\/doi.org\/10.1142\/s0218195910003426","relation":{},"ISSN":["0218-1959","1793-6357"],"issn-type":[{"value":"0218-1959","type":"print"},{"value":"1793-6357","type":"electronic"}],"subject":[],"published":{"date-parts":[[2010,10]]}}}