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Power graph of finite abelian groups

Vernadsky National Library of Ukraine

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Title Power graph of finite abelian groups
 
Creator Tamizh Chelvam, T.
Sattanathan, M.
 
Description 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.
 
Date 2019-06-09T17:12:46Z
2019-06-09T17:12:46Z
2013
 
Type Article
 
Identifier 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.
1726-3255
2010 MSC:05C25.
http://dspace.nbuv.gov.ua/handle/123456789/152306
 
Language en
 
Relation Algebra and Discrete Mathematics
 
Publisher Інститут прикладної математики і механіки НАН України