Suborbital graphs for the group $\Gamma^2$

Bahadır Özgür Güler; Murat Beşenk; Yavuz Kesicioğlu; Ali Hikmet Değer

Research Article

Year 2015, Volume: 44 Issue: 5, 1033 - 1044, 01.10.2015

Bahadır Özgür Güler Murat Beşenk Yavuz Kesicioğlu Ali Hikmet Değer

Abstract

References

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Suborbital graphs for the group $\Gamma^2$

Year 2015, Volume: 44 Issue: 5, 1033 - 1044, 01.10.2015

Bahadır Özgür Güler Murat Beşenk Yavuz Kesicioğlu Ali Hikmet Değer

Abstract

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

References

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There are 1 citations in total.

Details

Primary Language	English
Subjects	Mathematical Sciences
Journal Section	Mathematics
Authors	Bahadır Özgür Güler This is me Murat Beşenk This is me Yavuz Kesicioğlu This is me Ali Hikmet Değer
Publication Date	October 1, 2015
Published in Issue	Year 2015 Volume: 44 Issue: 5

Cite

APA	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.
AMA	Güler BÖ, Beşenk M, Kesicioğlu Y, Değer AH. Suborbital graphs for the group $\Gamma^2$. Hacettepe Journal of Mathematics and Statistics. October 2015;44(5):1033-1044.
Chicago	Güler, Bahadır Özgür, Murat Beşenk, Yavuz Kesicioğlu, and Ali Hikmet Değer. “Suborbital Graphs for the Group $\Gamma^2$”. Hacettepe Journal of Mathematics and Statistics 44, no. 5 (October 2015): 1033-44.
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	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, 2015.
ISNAD	Güler, Bahadır Özgür et al. “Suborbital Graphs for the Group $\Gamma^2$”. Hacettepe Journal of Mathematics and Statistics 44/5 (October 2015), 1033-1044.
JAMA	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, 2015, pp. 1033-44.
Vancouver	Güler BÖ, Beşenk M, Kesicioğlu Y, Değer AH. Suborbital graphs for the group $\Gamma^2$. Hacettepe Journal of Mathematics and Statistics. 2015;44(5):1033-44.