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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 Fu,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 Γ2 which is the group generated by the second powers of the elements of the modular group Γ on Qˆ.
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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 Fu,N and show that it is connected if and only if N ≤ 2.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Modular group · Group action · Suborbital graphs
Abstract
In this paper, we investigate suborbital graphs formed by the action of Γ2 which is the group generated by the second powers of the elements of the modular group Γ on Qˆ. 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 Fu,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., KESİCİOĞLU, Y., DEĞER, A. H. (2015). Suborbital graphs for the group $\Gamma^2$. Hacettepe Journal of Mathematics and Statistics, Cilt: 44 Sayı: 5, 1033–1044. https://ajindex.com/articles/929274