General evaluation of suborbital graphs

Year 2018, Volume: 3 Issue: 1, 42 - 50, 30.04.2018

Murat Beşenk

Abstract

In this paper, we aim to review suborbital graphs and also give an example to an extension of directed graphs.

Keywords

Bianchi groups, suborbital graphs, circuits

References

• [1] Sims C.C., Graphs and finite permutation groups, Mathematische Zeitschrift, Vol:95, 76-86, (1967).
• [2] Jones G.A., Singerman D. andWicks K.,The modular group and generalized Farey graphs, LondonMathematical Society, Vol:160, 316-338, (1991).
• [3] Biggs N.L., White A.T., Permutation groups and combinatorial structures, Cambridge University Press, Cambridge, (1979).
• [4] Akbas¸ M., Bas¸kan T., Suborbital graphs for the normalizer of G0(N), Turkish Journal of Mathematics, Vol:20, 379-387, (1996).
• [5] Akbas¸ M., Singerman D.,The normalizer of G0(N) in PSL(2,R), Glasgow Mathematical Journal, Vol:32, 317-327, (1990).
• [6] Akbas¸ M., Singerman D., The signature of the normalizer of G0(N), London Mathematical Society, Vol:165, 77-86, (1992).
• [7] Bes¸enk M., G¨uler B.¨O., De˘ger A.H., Kader S., Conditions to be a forest for normalizer, International Journal of Mathematical Analysis, Vol:4, 1635-1643, (2010).
• [8] G¨uler B.¨O., K¨oro˘glu T., S¸anlı Z., Solutions to some congruence equations via suborbital graphs, SpringerPlus, Vol:1327, 1-11, (2016).
• [9] G¨uler B.¨O., Kader S., Self-paired edges for the normalizer, Algebras Groups and Geometries, Vol:27, 369-376, (2010).
• [10] G¨uler B.¨O., Kader S., Some properties of the normalizer of G0(N) on graphs, Journal of Applied Mathematics, Statistics and Informatics, Vol:4, 77-87, (2008).
• [11] G¨uler B.¨O., Kader S., A note on genus problem and conjugation of the normalizer, New Trends in Mathematical Sciences, Vol:5, 117-122, (2017).
• [12] Keskin R., Demirt¨urk B., On suborbital graphs for the normalizer of G0(N), The Electronic Journal of Combinatorics, Vol:16, 1-18, (2009).
• [13] Keskin R., Suborbital graphs for the normalizer of G0(m), European Journal of Combinatorics, Vol:27, 193-206, (2006).
• [14] K¨oro˘glu T., G¨uler B.¨O., S¸anlı Z., Some generalized suborbital graphs, Turkish Journal of Mathematics and Computer Science, Vol:7, 90-95, (2017).
• [15] Bes¸enk M., De˘ger A.H., G¨uler B.¨O., An application on suborbital graphs, American Institute of Physics Conference Proceedings, Vol:1470, 187-190, (2012).