Power graph of finite abelian groups
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 characteri...
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| Published in: | Algebra and Discrete Mathematics |
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| Date: | 2013 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2013
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/152306 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Summary: | 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.
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| ISSN: | 1726-3255 |