Power graph of finite abelian groups

Tamizh Chelvam, T.; Sattanathan, M.

Power graph of finite abelian groups

dc.contributor.author	Tamizh Chelvam, T.
dc.contributor.author	Sattanathan, M.
dc.date.accessioned	2019-06-09T17:12:46Z
dc.date.available	2019-06-09T17:12:46Z
dc.date.issued	2013
dc.description.abstract	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.	uk_UA
dc.description.sponsorship	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.	uk_UA
dc.identifier.citation	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.	uk_UA
dc.identifier.issn	1726-3255
dc.identifier.other	2010 MSC:05C25.
dc.identifier.uri	https://nasplib.isofts.kiev.ua/handle/123456789/152306
dc.language.iso	en	uk_UA
dc.publisher	Інститут прикладної математики і механіки НАН України	uk_UA
dc.relation.ispartof	Algebra and Discrete Mathematics
dc.status	published earlier	uk_UA
dc.title	Power graph of finite abelian groups	uk_UA
dc.type	Article	uk_UA

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Algebra and Discrete Mathematics, 2013, Vol. 16, № 1