In this paper, we give a complete description of strongly regular graphs with parameters ((n^2+3n-1)^2,n^2(n+3),1,n(n+1)). All possible such graphs are: the lattice graph L3,3 with parameters (9,4,1,2), the Brouwer-Haemers graph with parameters (81,20,1,6), and the Games graph with parameters (729,112,1,20).
@article{arxiv.1201.0383,
title = {On a family of strongly regular graphs with \lambda=1},
author = {Andriy V. Bondarenko and Danylo V. Radchenko},
journal= {arXiv preprint arXiv:1201.0383},
year = {2012}
}