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Journals / Hacettepe Journal of Mathematics and Statistics / 2011 / Cilt: 40 - Sayı: 4

On semisymmetric cubic graphs of order $10p^3$

Mehdi ALAEIYAN
B. Naimeh ONAGH
Pages
531–535
Publication Date
2022-10-18
DOI
—
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AI Summary & Key Takeaways

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

We prove that every connected cubic edge-transitive graph of order 10p3 is vertex-transitive, where p is a prime.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:Connected cubic graphs of order $10p^ 3$ which admit an automorphism group acting semisymmetrically are investigated.
📊
Key Findings & Data:Connected cubic graphs of order $10p^ 3$ which admit an automorphism group acting semisymmetrically are investigated.
💡
Conclusion & Impact:We prove that every connected cubic edge-transitive graph of order 10p3 is vertex-transitive, where p is a prime.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

Connected cubic graphs of order $10p^ 3$ which admit an automorphism group acting semisymmetrically are investigated. We prove that every connected cubic edge-transitive graph of order 10p3 is vertex-transitive, where p is a prime.

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Cite This Article

ALAEIYAN, M., ONAGH, B. N. (2022). On semisymmetric cubic graphs of order $10p^3$. Hacettepe Journal of Mathematics and Statistics, Cilt: 40 - Sayı: 4, 531–535. https://ajindex.com/articles/530582

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