[{"language":[{}],"creator":{"id":"ea97e931-d5af-11eb-85d4-e6957dddbf17","login":"alisjak"},"conference":{"location":"Berkeley, CA, United States","start_date":"1990-06-07","name":"SCG: Symposium on Computational Geometry","end_date":"1990-06-09"},"_id":"4076","main_file_link":[{"url":"https://dl.acm.org/doi/10.1145/98524.98567"}],"type":"conference","oa_version":"None","publist_id":"2044","user_id":"ea97e931-d5af-11eb-85d4-e6957dddbf17","author":[{"last_name":"Agarwal","first_name":"Pankaj"},{"orcid":"0000-0002-9823-6833","first_name":"Herbert","id":"3FB178DA-F248-11E8-B48F-1D18A9856A87","last_name":"Edelsbrunner"},{"last_name":"Schwarzkopf","first_name":"Otfried"},{"first_name":"Emo","last_name":"Welzl"}],"publication_status":"published","uri_base":"https://research-explorer.ista.ac.at","day":"01","abstract":[{"lang":"eng"}],"quality_controlled":"1","page":"203 - 210","date_created":"2018-12-11T12:06:48Z","scopus_import":"1","date_updated":"2022-02-16T15:30:22Z","publication":"Proceedings of the 6th annual symposium on Computational geometry","month":"01","extern":"1","dc":{"type":["info:eu-repo/semantics/conferenceObject","doc-type:conferenceObject","text","http://purl.org/coar/resource_type/c_5794"],"publisher":["ACM"],"identifier":["https://research-explorer.ista.ac.at/record/4076"],"source":["Agarwal P, Edelsbrunner H, Schwarzkopf O, Welzl E. Euclidean minimum spanning trees and bichromatic closest pairs. In: *Proceedings of the 6th Annual Symposium on Computational Geometry*. ACM; 1990:203-210. doi:10.1145/98524.98567"],"rights":["info:eu-repo/semantics/closedAccess"],"relation":["info:eu-repo/semantics/altIdentifier/doi/10.1145/98524.98567","info:eu-repo/semantics/altIdentifier/isbn/978-0-89791-362-1"],"description":["We present an algorithm to compute a Euclidean minimum spanning tree of a given set S of n points in Ed in time O(Td(N, N) logd N), where Td(n, m) is the time required to compute a bichromatic closest pair among n red and m blue points in Ed. If Td(N, N) = Ω(N1+ε), for some fixed ε > 0, then the running time improves to O(Td(N, N)). Furthermore, we describe a randomized algorithm to compute a bichromatic closets pair in expected time O((nm log n log m)2/3+m log2 n + n log2 m) in E3, which yields an O(N4/3log4/3 N) expected time algorithm for computing a Euclidean minimum spanning tree of N points in E3."],"date":["1990"],"creator":["Agarwal, Pankaj","Edelsbrunner, Herbert","Schwarzkopf, Otfried","Welzl, Emo"],"language":["eng"],"title":[" Euclidean minimum spanning trees and bichromatic closest pairs"]},"dini_type":"doc-type:conferenceObject","publication_identifier":{"isbn":[]},"status":"public","citation":{"apa":"Agarwal, P., Edelsbrunner, H., Schwarzkopf, O., & Welzl, E. (1990). Euclidean minimum spanning trees and bichromatic closest pairs. In *Proceedings of the 6th annual symposium on Computational geometry* (pp. 203–210). Berkeley, CA, United States: ACM. https://doi.org/10.1145/98524.98567","short":"P. Agarwal, H. Edelsbrunner, O. Schwarzkopf, E. Welzl, in:, Proceedings of the 6th Annual Symposium on Computational Geometry, ACM, 1990, pp. 203–210.","ista":"Agarwal P, Edelsbrunner H, Schwarzkopf O, Welzl E. 1990. Euclidean minimum spanning trees and bichromatic closest pairs. Proceedings of the 6th annual symposium on Computational geometry. SCG: Symposium on Computational Geometry, 203–210.","chicago":"Agarwal, Pankaj, Herbert Edelsbrunner, Otfried Schwarzkopf, and Emo Welzl. “ Euclidean Minimum Spanning Trees and Bichromatic Closest Pairs.” In *Proceedings of the 6th Annual Symposium on Computational Geometry*, 203–10. ACM, 1990. https://doi.org/10.1145/98524.98567.","mla":"Agarwal, Pankaj, et al. “ Euclidean Minimum Spanning Trees and Bichromatic Closest Pairs.” *Proceedings of the 6th Annual Symposium on Computational Geometry*, ACM, 1990, pp. 203–10, doi:10.1145/98524.98567.","ieee":"P. Agarwal, H. Edelsbrunner, O. Schwarzkopf, and E. Welzl, “ Euclidean minimum spanning trees and bichromatic closest pairs,” in *Proceedings of the 6th annual symposium on Computational geometry*, Berkeley, CA, United States, 1990, pp. 203–210."},"date_published":"1990-01-01T00:00:00Z","article_processing_charge":"No"}]