New example of strongly regular graph with parameters (81,30,9,12) and a simple group A5 as the automorphism group

Abstract

A new strongly regular graph with parameters (81,30,9,12) is found as a graph invariant under certain subgroup of the full automorphism group of the previously known strongly regular graph discovered in 1981 by J. H. van Lint and A. Schrijver.

Keywords

• Strongly regular graph
• Automorphism group
• Alternating group