Suborbital graphs for the Atkin-Lehner group

Authors: TUNCAY KÖROĞLU, BAHADIR ÖZGÜR GÜLER, ZEYNEP ŞANLI

Abstract: We investigate suborbital graphs for an imprimitive action of the Atkin-Lehner group on a maximal subset of extended rational numbers on which a transitive action is also satisfied. Obtaining edge and some circuit conditions, we examine some combinatorial properties of these graphs.

Keywords: Fuchsian groups, Atkin-Lehner group, group action, suborbital graphs

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