{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,1]],"date-time":"2026-02-01T20:11:12Z","timestamp":1769976672385,"version":"3.49.0"},"reference-count":12,"publisher":"Cambridge University Press (CUP)","issue":"2","license":[{"start":{"date-parts":[[2018,6,13]],"date-time":"2018-06-13T00:00:00Z","timestamp":1528848000000},"content-version":"unspecified","delay-in-days":0,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Combinator. Probab. Comp."],"published-print":{"date-parts":[[2019,3]]},"abstract":"<jats:p>A set of points in <jats:italic>d<\/jats:italic>-dimensional Euclidean space is <jats:italic>almost equidistant<\/jats:italic> if, among any three points of the set, some two are at distance 1. We show that an almost-equidistant set in \u211d<jats:sup><jats:italic>d<\/jats:italic><\/jats:sup> has cardinality <jats:italic>O<\/jats:italic>(<jats:italic>d<\/jats:italic><jats:sup>4\/3<\/jats:sup>).<\/jats:p>","DOI":"10.1017\/s0963548318000287","type":"journal-article","created":{"date-parts":[[2018,6,13]],"date-time":"2018-06-13T00:48:08Z","timestamp":1528850888000},"page":"280-286","source":"Crossref","is-referenced-by-count":3,"title":["Bounding the Size of an Almost-Equidistant Set in Euclidean Space"],"prefix":"10.1017","volume":"28","author":[{"given":"ANDREY","family":"KUPAVSKII","sequence":"first","affiliation":[]},{"given":"NABIL H.","family":"MUSTAFA","sequence":"additional","affiliation":[]},{"given":"KONRAD J.","family":"SWANEPOEL","sequence":"additional","affiliation":[]}],"member":"56","published-online":{"date-parts":[[2018,6,13]]},"reference":[{"key":"S0963548318000287_ref5","doi-asserted-by":"publisher","DOI":"10.1201\/9780203911211"},{"key":"S0963548318000287_ref8","doi-asserted-by":"publisher","DOI":"10.1112\/S0025579300004903"},{"key":"S0963548318000287_ref7","unstructured":"Gy\u00f6rey B. (2004) Diszkr\u00e9t metrikus terek be\u00e1gyaz\u00e1sai (in Hungarian). Master's thesis, E\u00f6tv\u00f6s Lor\u00e1nd University, Budapest."},{"key":"S0963548318000287_ref4","doi-asserted-by":"publisher","DOI":"10.1023\/A:1004851109255"},{"key":"S0963548318000287_ref9","doi-asserted-by":"publisher","DOI":"10.1016\/S0012-365X(00)00406-4"},{"key":"S0963548318000287_ref2","doi-asserted-by":"publisher","DOI":"10.1016\/S0012-365X(03)00227-9"},{"key":"S0963548318000287_ref1","doi-asserted-by":"publisher","DOI":"10.1016\/0097-3165(80)90030-8"},{"key":"S0963548318000287_ref3","unstructured":"Balko M. , P\u00f3r A. , Scheucher M. , Swanepoel K. and Valtr P. (2017) Almost-equidistant sets. arXiv:1706.06375"},{"key":"S0963548318000287_ref6","doi-asserted-by":"publisher","DOI":"10.1016\/j.laa.2010.11.052"},{"key":"S0963548318000287_ref11","doi-asserted-by":"crossref","first-page":"321","DOI":"10.1007\/s004930200015","article-title":"Cycles of nonzero elements in low rank matrices.","volume":"22","author":"Pudl\u00e1k","year":"2002","journal-title":"Combinatorica"},{"key":"S0963548318000287_ref10","unstructured":"Polyanskii A. (2017) On almost-equidistant sets. arXiv:1707.00295"},{"key":"S0963548318000287_ref12","doi-asserted-by":"publisher","DOI":"10.1090\/dimacs\/004\/38"}],"container-title":["Combinatorics, Probability and Computing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0963548318000287","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,4,12]],"date-time":"2019-04-12T15:02:06Z","timestamp":1555081326000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S0963548318000287\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,6,13]]},"references-count":12,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2019,3]]}},"alternative-id":["S0963548318000287"],"URL":"https:\/\/doi.org\/10.1017\/s0963548318000287","relation":{},"ISSN":["0963-5483","1469-2163"],"issn-type":[{"value":"0963-5483","type":"print"},{"value":"1469-2163","type":"electronic"}],"subject":[],"published":{"date-parts":[[2018,6,13]]}}}