Farey-subgraphs and Continued Fractions

S. Kushwaha, R. Sarma

In this note, we study a family of subgraphs of the Farey graph, denoted as ${\mathcal{F}}_N$ for every $N\in \mathbb{N}.$ We show that ${\mathcal{F}}_N$ is connected if and only if $N$…