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Yapay Zeka Hızlı Bakış & Çıkarımlar
AI Insight⚡ TL;DR(1 Cümlede Hızlı Çıkarım)
Finally, we examine the connectivity of the subgraph F u,N and show that it is connected if and only if N ≤ 2 .
📌 3 Maddede Bu Makale
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Amaç & Hipotez:In this paper, we investigate suborbital graphs formed by the action of Γ 2 which is the group generated by the second powers of the elements of the modular group Γ on Q ˆ .
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Temel Bulgular & Veri:Firstly, conditions for being an edge, self-paired and paired graphs are provided, then we give necessary and sufficient conditions for the suborbital graphs to contain a circuit and to be a forest.
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Sonuç & Katkı:Finally, we examine the connectivity of the subgraph F u,N and show that it is connected if and only if N ≤ 2 .
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Modular group · Group action · Suborbital graphs
Abstract
In this paper, we investigate suborbital graphs formed by the action of Γ 2 which is the group generated by the second powers of the elements of the modular group Γ on Q ˆ . Firstly, conditions for being an edge, self-paired and paired graphs are provided, then we give necessary and sufficient conditions for the suborbital graphs to contain a circuit and to be a forest. Finally, we examine the connectivity of the subgraph F u,N and show that it is connected if and only if N ≤ 2 .
Anahtar kelimeler
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Bu Makaleye Atıf Yap
Güler, B. Ö., Beşenk, M., Kesicioğlu, Y., Değer, A. H. (2015). Suborbital graphs for the group $\Gamma^2$. Hacettepe Journal of Mathematics and Statistics, Volume: 44 Issue: 5. https://ajindex.com/articles/1403234