{"quality_controlled":"1","publist_id":"2018","language":[{"iso":"eng"}],"intvolume":"         2","page":"171 - 178","user_id":"ea97e931-d5af-11eb-85d4-e6957dddbf17","publication":"Journal of Symbolic Computation","day":"01","publication_status":"published","date_published":"1986-01-01T00:00:00Z","volume":2,"_id":"4106","doi":"10.1016/S0747-7171(86)80020-7","author":[{"orcid":"0000-0002-9823-6833","id":"3FB178DA-F248-11E8-B48F-1D18A9856A87","full_name":"Edelsbrunner, Herbert","last_name":"Edelsbrunner","first_name":"Herbert"},{"last_name":"Waupotitsch","full_name":"Waupotitsch, Roman","first_name":"Roman"}],"publication_identifier":{"eissn":["1095-855X"],"issn":["0747-7171"]},"year":"1986","abstract":[{"lang":"eng","text":"Let B be a set of nb black points and W a set of nw, white points in the Euclidean plane. A line h is said to bisect B (or W) if, at most, half of the points of B (or W) lie on any one side of h. A line that bisects both B and W is called a ham-sandwich cut of B and W. We give an algorithm that computes a ham-sandwich cut of B and W in 0((nh+nw) log (min {nb, nw}+ 1)) time. The algorithm is considerably simpler than the previous most efficient one which takes 0((nb + nw) log (nb + nw)) time."}],"publisher":"Elsevier","issue":"2","article_type":"original","status":"public","extern":"1","oa_version":"None","type":"journal_article","citation":{"chicago":"Edelsbrunner, Herbert, and Roman Waupotitsch. “Computing a Ham-Sandwich Cut in Two Dimensions.” <i>Journal of Symbolic Computation</i>. Elsevier, 1986. <a href=\"https://doi.org/10.1016/S0747-7171(86)80020-7\">https://doi.org/10.1016/S0747-7171(86)80020-7</a>.","apa":"Edelsbrunner, H., &#38; Waupotitsch, R. (1986). Computing a ham-sandwich cut in two dimensions. <i>Journal of Symbolic Computation</i>. Elsevier. <a href=\"https://doi.org/10.1016/S0747-7171(86)80020-7\">https://doi.org/10.1016/S0747-7171(86)80020-7</a>","ista":"Edelsbrunner H, Waupotitsch R. 1986. Computing a ham-sandwich cut in two dimensions. Journal of Symbolic Computation. 2(2), 171–178.","short":"H. Edelsbrunner, R. Waupotitsch, Journal of Symbolic Computation 2 (1986) 171–178.","ama":"Edelsbrunner H, Waupotitsch R. Computing a ham-sandwich cut in two dimensions. <i>Journal of Symbolic Computation</i>. 1986;2(2):171-178. doi:<a href=\"https://doi.org/10.1016/S0747-7171(86)80020-7\">10.1016/S0747-7171(86)80020-7</a>","ieee":"H. Edelsbrunner and R. Waupotitsch, “Computing a ham-sandwich cut in two dimensions,” <i>Journal of Symbolic Computation</i>, vol. 2, no. 2. Elsevier, pp. 171–178, 1986.","mla":"Edelsbrunner, Herbert, and Roman Waupotitsch. “Computing a Ham-Sandwich Cut in Two Dimensions.” <i>Journal of Symbolic Computation</i>, vol. 2, no. 2, Elsevier, 1986, pp. 171–78, doi:<a href=\"https://doi.org/10.1016/S0747-7171(86)80020-7\">10.1016/S0747-7171(86)80020-7</a>."},"date_created":"2018-12-11T12:06:58Z","scopus_import":"1","article_processing_charge":"No","title":"Computing a ham-sandwich cut in two dimensions","month":"01","date_updated":"2022-02-01T11:22:59Z"}