{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,6,23]],"date-time":"2023-06-23T06:07:07Z","timestamp":1687500427534},"reference-count":11,"publisher":"Elsevier BV","issue":"1-3","license":[{"start":{"date-parts":[[2002,10,1]],"date-time":"2002-10-01T00:00:00Z","timestamp":1033430400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2013,7,17]],"date-time":"2013-07-17T00:00:00Z","timestamp":1374019200000},"content-version":"vor","delay-in-days":3942,"URL":"https:\/\/www.elsevier.com\/open-access\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Discrete Applied Mathematics"],"published-print":{"date-parts":[[2002,10]]},"DOI":"10.1016\/s0166-218x(01)00315-8","type":"journal-article","created":{"date-parts":[[2002,10,14]],"date-time":"2002-10-14T15:12:20Z","timestamp":1034608340000},"page":"183-194","source":"Crossref","is-referenced-by-count":4,"title":["Shattering a set of objects in 2D"],"prefix":"10.1016","volume":"122","author":[{"given":"Subhas C.","family":"Nandy","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Tetsuo","family":"Asano","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Tomohiro","family":"Harayama","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"78","reference":[{"key":"10.1016\/S0166-218X(01)00315-8_BIB1","doi-asserted-by":"crossref","first-page":"165","DOI":"10.1016\/0022-0000(89)90038-X","article-title":"Topological sweeping an arrangement","volume":"38","author":"Edelsbrunner","year":"1989","journal-title":"J. Comput. System. Sci."},{"key":"10.1016\/S0166-218X(01)00315-8_BIB2","doi-asserted-by":"crossref","first-page":"161","DOI":"10.1007\/BF02187784","article-title":"The complexity and construction of many faces in arrangements of lines and of segments","volume":"5","author":"Edelsbrunner","year":"1990","journal-title":"Discrete Comput. Geom."},{"key":"10.1016\/S0166-218X(01)00315-8_BIB3","doi-asserted-by":"crossref","first-page":"277","DOI":"10.1016\/0925-7721(93)90018-2","article-title":"On the union of fat wedges and separating a collection of segments by a line","volume":"3","author":"Efrat","year":"1993","journal-title":"Comput. Geom.: Theory Appl."},{"key":"10.1016\/S0166-218X(01)00315-8_BIB4","doi-asserted-by":"crossref","first-page":"309","DOI":"10.1016\/S0020-0190(97)00188-9","article-title":"Separating and shattering long line segments","volume":"64","author":"Efrat","year":"1997","journal-title":"Inform. Process. Lett."},{"key":"10.1016\/S0166-218X(01)00315-8_BIB5","unstructured":"R. Freimer, Shattering configurations of points with hyper-plane, Canadian Conference on Computational Geometry, 1991, pp. 220\u2013223."},{"key":"10.1016\/S0166-218X(01)00315-8_BIB6","unstructured":"R. Freimer, Investigations in geometric subdivisions: linear shattering and cartographic map coloring, Technical Report No. TR2000-1784, Department of Computer Science, Cornell University, February 2000."},{"key":"10.1016\/S0166-218X(01)00315-8_BIB7","unstructured":"R. Freimer, J.S.B. Mitchell, C.D. Piatko, On the complexity of shattering using arrangements, Canadian Conference on Computational Geometry, 1990, pp. 218\u2013222."},{"key":"10.1016\/S0166-218X(01)00315-8_BIB8","doi-asserted-by":"crossref","first-page":"165","DOI":"10.1016\/0925-7721(95)00022-2","article-title":"On a class of O(n2) problems in computational geometry","volume":"5","author":"Gajentaan","year":"1995","journal-title":"Comput. Geom.: Theory Appl."},{"issue":"2","key":"10.1016\/S0166-218X(01)00315-8_BIB9","doi-asserted-by":"crossref","first-page":"87","DOI":"10.1007\/BF00993195","article-title":"On finding the convex hull of a simple polygon","volume":"12","author":"Lee","year":"1983","journal-title":"Internat. J. Comput. Inform. Sci."},{"key":"10.1016\/S0166-218X(01)00315-8_BIB10","series-title":"Computational Geometry\u2014an Introduction","author":"Preparata","year":"1985"},{"key":"10.1016\/S0166-218X(01)00315-8_BIB11","series-title":"Davenport-Schinzel Sequence and Their Geometric Applications","author":"Sharir","year":"1995"}],"container-title":["Discrete Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0166218X01003158?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0166218X01003158?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2019,5,3]],"date-time":"2019-05-03T05:28:35Z","timestamp":1556861315000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0166218X01003158"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2002,10]]},"references-count":11,"journal-issue":{"issue":"1-3","published-print":{"date-parts":[[2002,10]]}},"alternative-id":["S0166218X01003158"],"URL":"https:\/\/doi.org\/10.1016\/s0166-218x(01)00315-8","relation":{},"ISSN":["0166-218X"],"issn-type":[{"value":"0166-218X","type":"print"}],"subject":[],"published":{"date-parts":[[2002,10]]}}}