Abstract
In this paper, we examine some properties of suborbital graphs for the Hecke groups Γ, H( 2 ), and H( 3 ) on Q ̂ , 2 Q ̂ , and 3 Q ̂ , respectively. In addition, we give necessary and sufficient conditions for the suborbital graph G(∞,(u/n) m ) to be a forest. Finally, we completely find the number of sides of all the circuits in the suborbital graphs.
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