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 |
|---|---|
| Дата: | 2017 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862747677405478912 |
|---|---|
| author | Doostabadi, A. Farrokhi D.G., M. |
| author_facet | Doostabadi, A. Farrokhi D.G., M. |
| 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. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| 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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| first_indexed | 2025-12-07T20:52:07Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-156640 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T20:52:07Z |
| publishDate | 2017 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | 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 |
| spellingShingle | Embeddings of (proper) power graphs of finite groups Doostabadi, A. Farrokhi D.G., M. |
| title | 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_short | Embeddings of (proper) power graphs of finite groups |
| title_sort | embeddings of (proper) power graphs of finite groups |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/156640 |
| work_keys_str_mv | AT doostabadia embeddingsofproperpowergraphsoffinitegroups AT farrokhidgm embeddingsofproperpowergraphsoffinitegroups |