On a Conjecture of Kelly on $(1,3)$-representation of Sylvester Gallai Designs

C P Anil Kumar, Anoop Singh

We give an exact criterion of a conjecture of L.M.Kelly to hold true which is stated as follows. If there is a finite family $\Sigma$ of mutually skew lines in ${\mathbb{R}}^l,l\ge 4$ su…