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Power graph of finite abelian groups
Репозиторій DSpace/Manakin
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Power graph of finite abelian groups
Інший ID:
2010 MSC:05C25.
Посилання:
Power graph of finite abelian groups / T. Tamizh Chelvam, M. Sattanathan // Algebra and Discrete Mathematics. — 2013. — Vol. 16, № 1. — С. 33–41. — Бібліогр.: 8 назв. — англ.
Підтримка:
The work reported here is supported by the Special Assistance Programme (No.F510/ 9/ DRS/ 2007 (SAP-I)) of University Grants Commission, India awarded tot he Department of Mathematics, Manonmaniam Sundaranar University, India for the period 2007-2012.
Дата:
2013
Переглядів:
696
Завантажень:
298
Анотація:
Let G be a group. The power graph ΓP(G) of G is a graph with vertex set V(ΓP(G)) = G and two distinct vertices x and y are adjacent in ΓP(G) if and only if either xˡ = y or yʲ = x, where 2 ≤ i, j ≤ n. In this paper, we obtain some fundamental characterizations of the power graph. Also, we characterize certain classes of power graphs of finite abelian groups.
