Research Article
Year 2017,
Volume: 7, 90 - 95, 19.12.2017
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].
References
- Conway, J.H., Norton, S.P., Monstrous Moonshine, Bull. London Math. Soc., 11(1977), 308–339.
- Deger, A.H., Beşenk M., G¨uler B.O., On suborbital graphs and related continued fractions, Appl. Math. Comput., 218(3)(2011), 746–750.
- Güler, B.O., et al., Elliptic elements and circuits in suborbital graphs, Hacet. J. Math. Stat., 40(2)(2011), 203–210.
- Güler, B.O., Köroğlu, T., Şanlı, Z., Solutions to some congruence equations via suborbital graphs, SpringerPlus, 5(1327)(2016), 1–11.
- Jones, G.A., Singerman, D.,Wicks, K., The modular group and generalized Farey graphs, London Math. Soc. Lecture Note Series, 160(1991), 316–338.
- 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.
- Keskin, R., Suborbital graphs for the normalizer of $\Gamma _{0}(m)$, European J. Combin., 27(2)(2006), 193–206.
- Keskin, R., Demirtürk, B., On suborbital graphs for the normalizer of $\Gamma _{0}(N)$, Electronic J. Combin., 27(2009), R116.
- Shimura, G., Introduction to The Arithmetic Theory of Automorphic Functions, Princeton University Press, 1971.
- Sims, C.C., Graphs and finite permutation groups, Math. Z., 95(1967), 76–86.
Year 2017,
Volume: 7, 90 - 95, 19.12.2017
Abstract
References
- Conway, J.H., Norton, S.P., Monstrous Moonshine, Bull. London Math. Soc., 11(1977), 308–339.
- Deger, A.H., Beşenk M., G¨uler B.O., On suborbital graphs and related continued fractions, Appl. Math. Comput., 218(3)(2011), 746–750.
- Güler, B.O., et al., Elliptic elements and circuits in suborbital graphs, Hacet. J. Math. Stat., 40(2)(2011), 203–210.
- Güler, B.O., Köroğlu, T., Şanlı, Z., Solutions to some congruence equations via suborbital graphs, SpringerPlus, 5(1327)(2016), 1–11.
- Jones, G.A., Singerman, D.,Wicks, K., The modular group and generalized Farey graphs, London Math. Soc. Lecture Note Series, 160(1991), 316–338.
- 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.
- Keskin, R., Suborbital graphs for the normalizer of $\Gamma _{0}(m)$, European J. Combin., 27(2)(2006), 193–206.
- Keskin, R., Demirtürk, B., On suborbital graphs for the normalizer of $\Gamma _{0}(N)$, Electronic J. Combin., 27(2009), R116.
- Shimura, G., Introduction to The Arithmetic Theory of Automorphic Functions, Princeton University Press, 1971.
- Sims, C.C., Graphs and finite permutation groups, Math. Z., 95(1967), 76–86.
There are 10 citations in total.
Details
| Subjects | Engineering |
|---|---|
| Journal Section | Articles |
| Authors | |
| Publication Date | December 19, 2017 |
| Published in Issue | Year 2017 Volume: 7 |