%A Erskine, Grahame
%A Griggs, Terry
%A Širáň, Jozef
%D 2022
%T Fragments in symmetric configurations with block size 3
%K
%X We begin the study of collections of three blocks which can occur in a symmetric configuration with block size 3, v 3 . Formulae are derived for the number of their occurrences and it is shown that the triangle, i.e. abf, ace, bcd, is a basis. It is also shown that symmetric configurations without triangles exist if and only if v=15 or v>=17. Such configurations containing "many" triangles are also discussed and a complete analysis of the triangle content of those with a cyclic automorphism is given.
%U http://www.iam.fmph.uniba.sk/amuc/ojs/index.php/amuc/article/view/1764
%J Acta Mathematica Universitatis Comenianae
%0 Journal Article
%P 101-111%V 91
%N 2
%@ 0862-9544
%8 2022-05-07