{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,21]],"date-time":"2026-08-21T19:26:51Z","timestamp":1787340411377,"version":"build-2736575974"},"reference-count":4,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"4","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Comput."],"published-print":{"date-parts":[[1979,11]]},"abstract":"<jats:p>In this note we algorithmically show that a set of k points can be located in the planar subdivision induced by a straight-line planar graph with n vertices in time $O(k\\log k) + O(n) + O(k\\log n)$, given a preprocessing time $O(n\\log n)$.<\/jats:p>","DOI":"10.1137\/0208043","type":"journal-article","created":{"date-parts":[[2005,2,24]],"date-time":"2005-02-24T06:03:31Z","timestamp":1109225011000},"page":"542-545","source":"Crossref","is-referenced-by-count":13,"title":["A Note on Locating a Set of Points in a Planar Subdivision"],"prefix":"10.1137","volume":"8","author":[{"given":"F. P.","family":"Preparata","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2006,7,31]]},"reference":[{"key":"R1","unstructured":"M. I. Shamos,  Computational Geometry,  1977, Dept. of Comp. Sci., Yale University, To be published by Springer-Verlag"},{"key":"R2","doi-asserted-by":"publisher","DOI":"10.1016\/0304-3975(78)90051-8"},{"key":"R3","doi-asserted-by":"publisher","DOI":"10.1137\/0206043"},{"key":"R4","doi-asserted-by":"crossref","unstructured":"R. J. Lipton, R. E. Tarjan,  Application of a planar separator theorem,  Proc. of the 18th Symp. on Found. of Comp. Sci. (Providence, RI),  1977,  162\u2013170","DOI":"10.1109\/SFCS.1977.6"}],"container-title":["SIAM Journal on Computing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/epubs.siam.org\/doi\/pdf\/10.1137\/0208043","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,8,21]],"date-time":"2026-08-21T18:33:53Z","timestamp":1787337233000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/0208043"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1979,11]]},"references-count":4,"journal-issue":{"issue":"4","published-print":{"date-parts":[[1979,11]]}},"alternative-id":["10.1137\/0208043"],"URL":"https:\/\/doi.org\/10.1137\/0208043","relation":{},"ISSN":["0097-5397","1095-7111"],"issn-type":[{"value":"0097-5397","type":"print"},{"value":"1095-7111","type":"electronic"}],"subject":[],"published":{"date-parts":[[1979,11]]}}}