Cliques of orders three and four in the Paley-type graphs

Anwita Bhowmik, Rupam Barman

Let $n=2^s{p}_1^{{\alpha }_1}\cdots p_k^{{\alpha }_k}$, where $s=0$ or $1$, ${\alpha }_i\ge 1$, and the distinct primes $p_i$ satisfy $p_i\equiv 1(\mathrm{mod}4)$ for all $i=1,\dots ,k$. Let $\mathbb{Z…