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.
Güler, B. Ö., Beşenk, M., Kesicioğlu, Y., & Değer, A. H. (2015). Suborbital graphs for the group $\Gamma^2$. Hacettepe Journal of Mathematics and Statistics, 44(5), 1033-1044. https://izlik.org/JA75ZZ26ZY
AMA
1.Güler BÖ, Beşenk M, Kesicioğlu Y, Değer AH. Suborbital graphs for the group $\Gamma^2$. Hacettepe Journal of Mathematics and Statistics. 2015;44(5):1033-1044. https://izlik.org/JA75ZZ26ZY
Chicago
Güler, Bahadır Özgür, Murat Beşenk, Yavuz Kesicioğlu, and Ali Hikmet Değer. 2015. “Suborbital Graphs for the Group $\Gamma^2$”. Hacettepe Journal of Mathematics and Statistics 44 (5): 1033-44. https://izlik.org/JA75ZZ26ZY.
EndNote
Güler BÖ, Beşenk M, Kesicioğlu Y, Değer AH (October 1, 2015) Suborbital graphs for the group $\Gamma^2$. Hacettepe Journal of Mathematics and Statistics 44 5 1033–1044.
IEEE
[1]B. Ö. Güler, M. Beşenk, Y. Kesicioğlu, and A. H. Değer, “Suborbital graphs for the group $\Gamma^2$”, Hacettepe Journal of Mathematics and Statistics, vol. 44, no. 5, pp. 1033–1044, Oct. 2015, [Online]. Available: https://izlik.org/JA75ZZ26ZY
ISNAD
Güler, Bahadır Özgür - Beşenk, Murat - Kesicioğlu, Yavuz - Değer, Ali Hikmet. “Suborbital Graphs for the Group $\Gamma^2$”. Hacettepe Journal of Mathematics and Statistics 44/5 (October 1, 2015): 1033-1044. https://izlik.org/JA75ZZ26ZY.
JAMA
1.Güler BÖ, Beşenk M, Kesicioğlu Y, Değer AH. Suborbital graphs for the group $\Gamma^2$. Hacettepe Journal of Mathematics and Statistics. 2015;44:1033–1044.
MLA
Güler, Bahadır Özgür, et al. “Suborbital Graphs for the Group $\Gamma^2$”. Hacettepe Journal of Mathematics and Statistics, vol. 44, no. 5, Oct. 2015, pp. 1033-44, https://izlik.org/JA75ZZ26ZY.
Vancouver
1.Bahadır Özgür Güler, Murat Beşenk, Yavuz Kesicioğlu, Ali Hikmet Değer. Suborbital graphs for the group $\Gamma^2$. Hacettepe Journal of Mathematics and Statistics [Internet]. 2015 Oct. 1;44(5):1033-44. Available from: https://izlik.org/JA75ZZ26ZY
