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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| Date: | 2018 |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Lugansk National Taras Shevchenko University
2018
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| Subjects: | |
| Online Access: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/145 |
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| Journal Title: | Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics| _version_ | 1856543292329558016 |
|---|---|
| author | Doostabadi, A. Farrokhi D. G., M. |
| author_facet | Doostabadi, A. Farrokhi D. G., M. |
| author_sort | Doostabadi, A. |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2018-04-26T02:43:18Z |
| 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. |
| first_indexed | 2025-12-02T15:25:29Z |
| format | Article |
| id | admjournalluguniveduua-article-145 |
| institution | Algebra and Discrete Mathematics |
| language | English |
| last_indexed | 2025-12-02T15:25:29Z |
| publishDate | 2018 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| spelling | admjournalluguniveduua-article-1452018-04-26T02:43:18Z Embeddings of (proper) power graphs of finite groups Doostabadi, A. Farrokhi D. G., M. power graph, planar graph, outerplanar graph, ring graph, 1-planar graph, almost planar graph, maximal planar graph, toroidal graph, projective graph Primary 05C25, 05C10 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. Lugansk National Taras Shevchenko University 2018-01-24 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/145 Algebra and Discrete Mathematics; Vol 24, No 2 (2017) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/145/pdf_1 https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/145/292 Copyright (c) 2018 Algebra and Discrete Mathematics |
| spellingShingle | power graph planar graph outerplanar graph ring graph 1-planar graph almost planar graph maximal planar graph toroidal graph projective graph Primary 05C25 05C10 Doostabadi, A. Farrokhi D. G., M. Embeddings of (proper) power graphs of finite groups |
| 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 |
| topic | power graph planar graph outerplanar graph ring graph 1-planar graph almost planar graph maximal planar graph toroidal graph projective graph Primary 05C25 05C10 |
| topic_facet | power graph planar graph outerplanar graph ring graph 1-planar graph almost planar graph maximal planar graph toroidal graph projective graph Primary 05C25 05C10 |
| url | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/145 |
| work_keys_str_mv | AT doostabadia embeddingsofproperpowergraphsoffinitegroups AT farrokhidgm embeddingsofproperpowergraphsoffinitegroups |