Citation Rowlinson P (2004) Star complements and maximal exceptional graphs. Publications de l'Institut Mathématique, 76 (90), pp. 25-30. http://elib.mi.sanu.ac.rs/files/journals/publ/96/n090p025.pdf
Abstract If G is a maximal exceptional graph then either (a) G is the cone over a graph switching-equivalent to the line graph L(K8) or (b) G has K8 as a star complement for the eigenvalue -2 (or both). In case (b) it is shown how G can be constructed from K8 using intersecting families of 3-sets.
Journal Publications de l'Institut Mathématique: Volume 76, Issue 90
Mathematical Institute of the Serbian Academy of Sciences and Arts, Belgrade