Maximum size binary matroids with no AG(3,2)-minor are graphic

Joseph P. S. Kung, Dillon Mayhew, Irene Pivotto +1

We prove that the maximum size of a simple binary matroid of rank $r\ge 5$ with no AG(3,2)-minor is $\left(\genfrac{}{}{0ex}{}{r+1}{2}\right)$ and characterise those matroids achieving this bound. When $r…