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Suborbital graphs for the Atkin--Lehner group

2017; Scientific and Technological Research Council of Turkey (TUBITAK); Volume: 41; Linguagem: Inglês

10.3906/mat-1602-10

1303-6149

Tuncay Köroğlu, Bahadır Özgür Güler, Zeynep Şanlı,

Advanced Combinatorial Mathematics

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.