Automorphism groups of tetravalent Cayley graphs on minimal non-abelian groups

• Дата: 2018
• Автор: Ghasemi, Mohsen
• Формат: Стаття
• Мова: English
• Опубліковано: Lugansk National Taras Shevchenko University 2018
• Теми: Cayley graph; normal Cayley graph; minimal nonabelian group; 05C25; 20B25
• Онлайн доступ: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/692
• Назва журналу: Algebra and Discrete Mathematics

A Cayley graph \(X\)\(=\)Cay\((G,S)\) is called {\it normal} for \(G\) if the right regular representation \(R(G)\)  of \(G\) is normal in the full automorphism group Aut\((X)\) of \(X\). In the present paper it is proved that all connected tetravalent Cayley graphs on a minimal non-abelian group \(...