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Year 2017, Volume: 10 Issue: 1, 0 - 0, 30.06.2017

Abstract

References

  • Akbaş M. “On Suborbital Graphs For The Modular Group”, Bulletin London Mathematical Society 33: 647–652, (2001).
  • Beşenk M. “Connectedness of Suborbital Graphs For a Special Subgroup of The Modular Group”, Mathematical Sciences and Applications E-Notes 4(1): 45–54,(2016).
  • Beşenk M., Güler B.Ö., Değer A.H., Kesicioğlu Y. “Circuit Lengths of Graphs For The Picard Group”, Journal of Inequalities and Applications 1: 106–114,(2013).
  • Bigg N.L., White A.T. Permutation Groups and Combinatorial Structures. Cambridge University Press, Cambridge, (1979).
  • Güler B.Ö., Beşenk M., Değer A.H., Kader S. “Elliptic Elements and Circuits in Suborbital Graphs”, Hacettepe Journal of Mathematics and Statistics 40: 203–210, (2011).
  • Hardy G. H., Wright E. M. An Introduction to The Theory of Numbers. Oxford University Press, Oxford, (1979).
  • Jones G. A., Singerman D., Wicks K. “The Modular Group and Generalized Farey Graphs”, London Mathematical Society Lecture Note Series 160: 316–338, (1991).
  • Kesicioğlu Y., Akbaş M., Beşenk M. “Connectedness of a Suborbital Graph For Congruence Subgroups”, Journal of Inequalities and Applications 1: 117–124, (2013).
  • Schoeneberg B. Elliptic Modular Functions. Springer, Berlin, (1974).
  • Sims C.C. “Graphs and Finite Fermutation Groups”, Mathematische Zeitschrift 95: 76–86, (1967).
  • Tsuzuku T. Finite Groups and Finite Geometries. Cambridge University Press, Cambridge, (1982).

Suborbital Graphs For The Invariance Group

Year 2017, Volume: 10 Issue: 1, 0 - 0, 30.06.2017

Abstract

In this paper, we investigate  some  suborbital  graphs  for  the  invariance group. We gave a necessary and sufficient condition for the graph F_(u,N) to be circuit. And also we went further to show some relations between the lengths of circuits in  and the generate elliptic elements of the group Gamma [N].

References

  • Akbaş M. “On Suborbital Graphs For The Modular Group”, Bulletin London Mathematical Society 33: 647–652, (2001).
  • Beşenk M. “Connectedness of Suborbital Graphs For a Special Subgroup of The Modular Group”, Mathematical Sciences and Applications E-Notes 4(1): 45–54,(2016).
  • Beşenk M., Güler B.Ö., Değer A.H., Kesicioğlu Y. “Circuit Lengths of Graphs For The Picard Group”, Journal of Inequalities and Applications 1: 106–114,(2013).
  • Bigg N.L., White A.T. Permutation Groups and Combinatorial Structures. Cambridge University Press, Cambridge, (1979).
  • Güler B.Ö., Beşenk M., Değer A.H., Kader S. “Elliptic Elements and Circuits in Suborbital Graphs”, Hacettepe Journal of Mathematics and Statistics 40: 203–210, (2011).
  • Hardy G. H., Wright E. M. An Introduction to The Theory of Numbers. Oxford University Press, Oxford, (1979).
  • Jones G. A., Singerman D., Wicks K. “The Modular Group and Generalized Farey Graphs”, London Mathematical Society Lecture Note Series 160: 316–338, (1991).
  • Kesicioğlu Y., Akbaş M., Beşenk M. “Connectedness of a Suborbital Graph For Congruence Subgroups”, Journal of Inequalities and Applications 1: 117–124, (2013).
  • Schoeneberg B. Elliptic Modular Functions. Springer, Berlin, (1974).
  • Sims C.C. “Graphs and Finite Fermutation Groups”, Mathematische Zeitschrift 95: 76–86, (1967).
  • Tsuzuku T. Finite Groups and Finite Geometries. Cambridge University Press, Cambridge, (1982).
There are 11 citations in total.

Details

Journal Section Articles
Authors

Murat Beşenk This is me

Publication Date June 30, 2017
Published in Issue Year 2017 Volume: 10 Issue: 1

Cite

APA Beşenk, M. (2017). Suborbital Graphs For The Invariance Group. Beykent Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi, 10(1).
AMA Beşenk M. Suborbital Graphs For The Invariance Group. BUJSE. June 2017;10(1).
Chicago Beşenk, Murat. “Suborbital Graphs For The Invariance Group”. Beykent Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi 10, no. 1 (June 2017).
EndNote Beşenk M (June 1, 2017) Suborbital Graphs For The Invariance Group. Beykent Üniversitesi Fen ve Mühendislik Bilimleri Dergisi 10 1
IEEE M. Beşenk, “Suborbital Graphs For The Invariance Group”, BUJSE, vol. 10, no. 1, 2017.
ISNAD Beşenk, Murat. “Suborbital Graphs For The Invariance Group”. Beykent Üniversitesi Fen ve Mühendislik Bilimleri Dergisi 10/1 (June 2017).
JAMA Beşenk M. Suborbital Graphs For The Invariance Group. BUJSE. 2017;10.
MLA Beşenk, Murat. “Suborbital Graphs For The Invariance Group”. Beykent Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi, vol. 10, no. 1, 2017.
Vancouver Beşenk M. Suborbital Graphs For The Invariance Group. BUJSE. 2017;10(1).