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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| Veröffentlicht in: | Algebra and Discrete Mathematics |
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| Datum: | 2013 |
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| Format: | Artikel |
| Sprache: | Englisch |
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Інститут прикладної математики і механіки НАН України
2013
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/152306 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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| _version_ | 1862719001340149760 |
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| author | Tamizh Chelvam, T. Sattanathan, M. |
| author_facet | Tamizh Chelvam, T. Sattanathan, M. |
| citation_txt | 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. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| 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.
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| first_indexed | 2025-12-07T18:17:50Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-152306 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T18:17:50Z |
| publishDate | 2013 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Tamizh Chelvam, T. Sattanathan, M. 2019-06-09T17:12:46Z 2019-06-09T17:12:46Z 2013 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. https://nasplib.isofts.kiev.ua/handle/123456789/152306 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. 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. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Power graph of finite abelian groups Article published earlier |
| spellingShingle | Power graph of finite abelian groups Tamizh Chelvam, T. Sattanathan, M. |
| title | Power graph of finite abelian groups |
| title_full | Power graph of finite abelian groups |
| title_fullStr | Power graph of finite abelian groups |
| title_full_unstemmed | Power graph of finite abelian groups |
| title_short | Power graph of finite abelian groups |
| title_sort | power graph of finite abelian groups |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/152306 |
| work_keys_str_mv | AT tamizhchelvamt powergraphoffiniteabeliangroups AT sattanathanm powergraphoffiniteabeliangroups |