Author/Authors :
Raei Barandagh ، F. - K.N. Toosi University of Technology , Rahnamai Barghi ، A. - K.N. Toosi University of Technology , Pejman ، B. - K.N. Toosi University of Technology , Parsa ، M. Rajabi - K.N. Toosi University of Technology
Abstract :
In [M. Klin, A. Munemusa, M. Muzychuk, P.-H. Zieschang Directed strongly regular graphs obtained from coherent algebras. Linear Algebra and its Applications 337, (2004) 83-109] the ag algebra of a given balanced incomplete block design with parameters (v, b,r, k, λ) where λ = 1, has been con- structed. In this paper, we consider the association scheme which is related to this ag algebra. By quotient scheme of this association scheme, we construct a strongly regular graph which its parameters are related to the parameters of given balanced incomplete block design. The parameters of this strongly regular graph are (kr²-r²+r/k, k(r-1), r-2+(k-1)²,k²).
