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Journals / Hacettepe Journal of Mathematics and Statistics / 2015 / Cilt: 44 - Sayı: 5

Suborbital graphs for the group ?2

Bahadır Özgür GÜLER
Murat BEŞENK
Ali Hikmet DEĞER
Yavuz KESİCİOĞLU
Pages
1033–1044
Publication Date
2022-10-18
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Finally, we examine the connectivity of the subgraphFu,Nand show that it is connected if and only if N

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we investigate suborbital graphs formed by the action of?2which is the group generated by the second powers of the elementsof the modular group ? on ^Q.
📊
Key Findings & Data:Firstly, conditions for being an edge,self-paired and paired graphs are provided, then we give necessary andsufficient conditions for the suborbital graphs to contain a circuit andto be a forest.
💡
Conclusion & Impact:Finally, we examine the connectivity of the subgraphFu,Nand show that it is connected if and only if N
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this paper, we investigate suborbital graphs formed by the action of?2which is the group generated by the second powers of the elementsof the modular group ? on ^Q. Firstly, conditions for being an edge,self-paired and paired graphs are provided, then we give necessary andsufficient conditions for the suborbital graphs to contain a circuit andto be a forest. Finally, we examine the connectivity of the subgraphFu,Nand show that it is connected if and only if N

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Cite This Article

GÜLER, B. Ö., BEŞENK, M., DEĞER, A. H., KESİCİOĞLU, Y. (2022). Suborbital graphs for the group ?2. Hacettepe Journal of Mathematics and Statistics, Cilt: 44 - Sayı: 5, 1033–1044. https://ajindex.com/articles/530271

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