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Dergiler / Turkish Journal of Mathematics and Computer Science / 2017 / Volume: 7

Some Generalized Suborbital Graphs

Tuncay Köroğlu
Bahadır Özgür Güler(Karadeniz Technical University)
Zeynep Şanlı
Sayfa
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Yayın Tarihi
2017-12-19
DOI
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Yapay Zeka Hızlı Bakış & Çıkarımlar

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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

This paper is an extension of some results in [3] [6].

📌 3 Maddede Bu Makale

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Amaç & Hipotez:We consider the notion of suborbital graphs of a group of Möbius transformations.
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Temel Bulgular & Veri:Defining an imprimitive action, we examine graphs arising from this action.
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Sonuç & Katkı:This paper is an extension of some results in [3] [6].
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Mobius transformations · Imprimitive action · 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].

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Bu Makaleye Atıf Yap

Köroğlu, T., Güler, B. Ö., Şanlı, Z. (2017). Some Generalized Suborbital Graphs. Turkish Journal of Mathematics and Computer Science, Volume: 7. https://ajindex.com/articles/1324966

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Kaynakça (10)

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  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.
  9. Shimura, G., Introduction to The Arithmetic Theory of Automorphic Functions, Princeton University Press, 1971.
  10. Sims, C.C., Graphs and finite permutation groups, Math. Z., 95(1967), 76–86.