Research Article

Some Generalized Suborbital Graphs

Volume: 7 December 19, 2017
EN

Some Generalized Suborbital Graphs

Abstract

We consider the notion of suborbital graphs of a group of Möbius transformations. Defining an

imprimitive action, we examine graphs arising from this action. First, we get necessary and sufficient conditions

for an edge, then we examine circuit conditions in graphs. This paper is an extension of some results in [3] [6].

Keywords

References

  1. Conway, J.H., Norton, S.P., Monstrous Moonshine, Bull. London Math. Soc., 11(1977), 308–339.
  2. Deger, A.H., Beşenk M., G¨uler B.O., On suborbital graphs and related continued fractions, Appl. Math. Comput., 218(3)(2011), 746–750.
  3. Güler, B.O., et al., Elliptic elements and circuits in suborbital graphs, Hacet. J. Math. Stat., 40(2)(2011), 203–210.
  4. Güler, B.O., Köroğlu, T., Şanlı, Z., Solutions to some congruence equations via suborbital graphs, SpringerPlus, 5(1327)(2016), 1–11.
  5. Jones, G.A., Singerman, D.,Wicks, K., The modular group and generalized Farey graphs, London Math. Soc. Lecture Note Series, 160(1991), 316–338.
  6. Kader, S., Güler B.O., Değer, A.H., Suborbital graphs for a special subgroup of the normalizer, Iran J Sci Technol A, 34(A4)(2010), 305–312.
  7. Keskin, R., Suborbital graphs for the normalizer of $\Gamma _{0}(m)$, European J. Combin., 27(2)(2006), 193–206.
  8. Keskin, R., Demirtürk, B., On suborbital graphs for the normalizer of $\Gamma _{0}(N)$, Electronic J. Combin., 27(2009), R116.

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Authors

Bahadır Özgür Güler
Karadeniz Technical University
Türkiye

Publication Date

December 19, 2017

Submission Date

August 2, 2017

Acceptance Date

December 18, 2017

Published in Issue

Year 2017 Volume: 7

APA
Köroğlu, T., Güler, B. Ö., & Şanlı, Z. (2017). Some Generalized Suborbital Graphs. Turkish Journal of Mathematics and Computer Science, 7, 90-95. https://izlik.org/JA59YU68KS
AMA
1.Köroğlu T, Güler BÖ, Şanlı Z. Some Generalized Suborbital Graphs. TJMCS. 2017;7:90-95. https://izlik.org/JA59YU68KS
Chicago
Köroğlu, Tuncay, Bahadır Özgür Güler, and Zeynep Şanlı. 2017. “Some Generalized Suborbital Graphs”. Turkish Journal of Mathematics and Computer Science 7 (December): 90-95. https://izlik.org/JA59YU68KS.
EndNote
Köroğlu T, Güler BÖ, Şanlı Z (December 1, 2017) Some Generalized Suborbital Graphs. Turkish Journal of Mathematics and Computer Science 7 90–95.
IEEE
[1]T. Köroğlu, B. Ö. Güler, and Z. Şanlı, “Some Generalized Suborbital Graphs”, TJMCS, vol. 7, pp. 90–95, Dec. 2017, [Online]. Available: https://izlik.org/JA59YU68KS
ISNAD
Köroğlu, Tuncay - Güler, Bahadır Özgür - Şanlı, Zeynep. “Some Generalized Suborbital Graphs”. Turkish Journal of Mathematics and Computer Science 7 (December 1, 2017): 90-95. https://izlik.org/JA59YU68KS.
JAMA
1.Köroğlu T, Güler BÖ, Şanlı Z. Some Generalized Suborbital Graphs. TJMCS. 2017;7:90–95.
MLA
Köroğlu, Tuncay, et al. “Some Generalized Suborbital Graphs”. Turkish Journal of Mathematics and Computer Science, vol. 7, Dec. 2017, pp. 90-95, https://izlik.org/JA59YU68KS.
Vancouver
1.Tuncay Köroğlu, Bahadır Özgür Güler, Zeynep Şanlı. Some Generalized Suborbital Graphs. TJMCS [Internet]. 2017 Dec. 1;7:90-5. Available from: https://izlik.org/JA59YU68KS