Induced Subgraphs of Order Seven and Their Frequencies in $srg(n,k,1,2)$

Abstract

In this paper, we examine the structure of strongly regular graphs with parameters $\lambda =1$ and $\mu =2$. In particular, we provide a complete classification of induced subgraphs of order seven and determine their relative frequencies. These findings contribute to a finer understanding of the local structure of such graphs and may be useful in related combinatorial and algebraic investigations.