Embeddings of (proper) power graphs of finite groups
The (proper) power graph of a group is a graph whose vertex set is the set of all (nontrivial) elements of the group and two distinct vertices are adjacent if one is a power of the other. Various kinds of planarity of (proper) power graphs of groups are discussed.
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| Опубліковано в: : | Algebra and Discrete Mathematics |
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| Дата: | 2017 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2017
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/156640 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Embeddings of (proper) power graphs of finite groups / A. Doostabadi, M. Farrokhi D.G. // Algebra and Discrete Mathematics. — 2017. — Vol. 24, № 2. — С. 221-234. — Бібліогр.: 31 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
nasplib_isofts_kiev_ua-123456789-156640 |
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Doostabadi, A. Farrokhi D.G., M. 2019-06-18T18:18:57Z 2019-06-18T18:18:57Z 2017 Embeddings of (proper) power graphs of finite groups / A. Doostabadi, M. Farrokhi D.G. // Algebra and Discrete Mathematics. — 2017. — Vol. 24, № 2. — С. 221-234. — Бібліогр.: 31 назв. — англ. 1726-3255 2010 MSC:Primary 05C25, 05C10. https://nasplib.isofts.kiev.ua/handle/123456789/156640 The (proper) power graph of a group is a graph whose vertex set is the set of all (nontrivial) elements of the group and two distinct vertices are adjacent if one is a power of the other. Various kinds of planarity of (proper) power graphs of groups are discussed. The authors would like to thank Prof. Myrvold for providing us with the toroidal graph testing algorithm used in the proof of Theorem 3.2. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Embeddings of (proper) power graphs of finite groups Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Embeddings of (proper) power graphs of finite groups |
| spellingShingle |
Embeddings of (proper) power graphs of finite groups Doostabadi, A. Farrokhi D.G., M. |
| title_short |
Embeddings of (proper) power graphs of finite groups |
| title_full |
Embeddings of (proper) power graphs of finite groups |
| title_fullStr |
Embeddings of (proper) power graphs of finite groups |
| title_full_unstemmed |
Embeddings of (proper) power graphs of finite groups |
| title_sort |
embeddings of (proper) power graphs of finite groups |
| author |
Doostabadi, A. Farrokhi D.G., M. |
| author_facet |
Doostabadi, A. Farrokhi D.G., M. |
| publishDate |
2017 |
| language |
English |
| container_title |
Algebra and Discrete Mathematics |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| description |
The (proper) power graph of a group is a graph whose vertex set is the set of all (nontrivial) elements of the group and two distinct vertices are adjacent if one is a power of the other. Various kinds of planarity of (proper) power graphs of groups are discussed.
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| issn |
1726-3255 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/156640 |
| citation_txt |
Embeddings of (proper) power graphs of finite groups / A. Doostabadi, M. Farrokhi D.G. // Algebra and Discrete Mathematics. — 2017. — Vol. 24, № 2. — С. 221-234. — Бібліогр.: 31 назв. — англ. |
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AT doostabadia embeddingsofproperpowergraphsoffinitegroups AT farrokhidgm embeddingsofproperpowergraphsoffinitegroups |
| first_indexed |
2025-12-07T20:52:07Z |
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2025-12-07T20:52:07Z |
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1850884203558731776 |