Bahadır Özgür GÜLER, Yavuz KESİCİOĞLU, Murat BEŞENK, Ali Hikmet DEĞER

10596

Suborbital graphs for the group $\Gamma^2$

In this paper, we investigate suborbital graphs formed by the action of Γ2 which is the group generated by the second powers of the elements of the modular group Γ on Qˆ. Firstly, conditions for being an edge, self-paired and paired graphs are provided, then we give necessary and sufficient conditions for the suborbital graphs to contain a circuit and to be a forest. Finally, we examine the connectivity of the subgraph Fu,N and show that it is connected if and only if N ≤ 2.
Keywords:

Modular group, Group action, Suborbital graphs,

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Hacettepe Journal of Mathematics and Statistics-Cover
  • Yayın Aralığı: 6
  • Başlangıç: 2002
  • Yayıncı: Hacettepe Üniversitesi Fen Fakultesi
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