Power graph of finite abelian groups

• Дата: 2018
• Автори: Chelvam, T. Tamizh, Sattanathan, M.
• Формат: Стаття
• Мова: English
• Опубліковано: Lugansk National Taras Shevchenko University 2018
• Теми: power graph; planar graph; Eulerian graph; finite group; 05C25
• Онлайн доступ: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/753
• Назва журналу: Algebra and Discrete Mathematics

Let \(G\) be a group. The power graph \(\Gamma_P(G)\) of \(G\) is a graph with vertex set \(V(\Gamma_P(G)) = G\) and two distinct vertices \(x\) and \(y\) are adjacent in \(\Gamma_P(G)\) if and only if either \(x^i=y\) or \(y^j=x\), where \(2\leq i,j \leq n\). In this paper, we obtain some fundament...