Journal of Combinatorial Theory, Series AVolume 18, Issue 3, May 1975, Pages 336-341NoteSome advances in the no-three-in-line problemAuthor links open overlay panelR.R Hall, T.H Jackson, A Sudbery, K WildShow moreShareCitehttps://doi.org/10.1016/0097-3165(75)90043-6Get rights and contentUnder an Elsevier user licenseopen archiveAbstractIt is shown that for any n there exist subsets of an n × n square array containing n points, of which no three lie in a line, and that for sufficiently large n there exist such subsets containing (32 − ϵ)n points.Previous article in issueNext article in issueRecommended articlesCited by (0)Copyright © 1975 Published by Elsevier Inc.