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...
Збережено в:
| Дата: | 2013 |
|---|---|
| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2013
|
| Назва видання: | Algebra and Discrete Mathematics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/152306 |
| Теги: |
Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
|
| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-152306 |
|---|---|
| record_format |
dspace |
| spelling |
irk-123456789-1523062019-06-10T01:26:04Z Power graph of finite abelian groups Tamizh Chelvam, T. Sattanathan, M. 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. 2013 Article 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 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Tamizh Chelvam, T. Sattanathan, M. |
| spellingShingle |
Tamizh Chelvam, T. Sattanathan, M. Power graph of finite abelian groups Algebra and Discrete Mathematics |
| author_facet |
Tamizh Chelvam, T. Sattanathan, M. |
| author_sort |
Tamizh Chelvam, T. |
| title |
Power graph of finite abelian groups |
| title_short |
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_sort |
power graph of finite abelian groups |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2013 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/152306 |
| 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. |
| series |
Algebra and Discrete Mathematics |
| work_keys_str_mv |
AT tamizhchelvamt powergraphoffiniteabeliangroups AT sattanathanm powergraphoffiniteabeliangroups |
| first_indexed |
2023-05-20T17:38:01Z |
| last_indexed |
2023-05-20T17:38:01Z |
| _version_ |
1796153736674934784 |