{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,27]],"date-time":"2026-03-27T15:19:46Z","timestamp":1774624786875,"version":"3.50.1"},"reference-count":0,"publisher":"The Electronic Journal of Combinatorics","issue":"1","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Electron. J. Combin."],"abstract":"<jats:p>We present both probabilistic and constructive lower bounds on the maximum size of a set of points ${\\cal S} \\subseteq {\\Bbb R}^d$ such that every angle determined by three points in ${\\cal S}$ is acute, considering especially the case ${\\cal S} \\subseteq\\{0,1\\}^d$. These results improve upon a probabilistic lower bound of Erd\u0151s and F\u00fcredi. We also present lower bounds for some generalisations of the acute angles problem, considering especially some problems concerning colourings of sets of integers.<\/jats:p>","DOI":"10.37236\/1038","type":"journal-article","created":{"date-parts":[[2020,1,11]],"date-time":"2020-01-11T05:03:52Z","timestamp":1578719032000},"source":"Crossref","is-referenced-by-count":8,"title":["Sets of Points Determining Only Acute Angles and Some Related Colouring Problems"],"prefix":"10.37236","volume":"13","author":[{"given":"David","family":"Bevan","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"23455","published-online":{"date-parts":[[2006,2,15]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/2.zoppoz.workers.dev:443\/https\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v13i1r12\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/2.zoppoz.workers.dev:443\/https\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v13i1r12\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,18]],"date-time":"2020-01-18T04:26:14Z","timestamp":1579321574000},"score":1,"resource":{"primary":{"URL":"https:\/\/2.zoppoz.workers.dev:443\/https\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v13i1r12"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2006,2,15]]},"references-count":0,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2006,1,7]]}},"URL":"https:\/\/2.zoppoz.workers.dev:443\/https\/doi.org\/10.37236\/1038","relation":{},"ISSN":["1077-8926"],"issn-type":[{"value":"1077-8926","type":"electronic"}],"subject":[],"published":{"date-parts":[[2006,2,15]]},"article-number":"R12"}}