Study The Result Involution Graph For The Janko Group J4
Consider a finite group G, and define I(G) as a collection of the involution elements in G. The simple undirected graph with vertex set being the elements of G with two vertices x, y ∈ G are adjacent if x ≠ y and xy in I(G), is called the result involution graph and denoted by $Gamm RI_G$. In...
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| Format: | Article |
| Language: | English |
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College of Education for Pure Sciences
2023-06-01
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| Series: | Wasit Journal for Pure Sciences |
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| Online Access: | https://wjps.uowasit.edu.iq/index.php/wjps/article/view/133 |
| _version_ | 1797288392518533120 |
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| author | Ali Aubaid Ahmed Arkan Meteab |
| author_facet | Ali Aubaid Ahmed Arkan Meteab |
| author_sort | Ali Aubaid |
| collection | DOAJ |
| description |
Consider a finite group G, and define I(G) as a collection of the involution elements in G. The simple undirected graph with vertex set being the elements of G with two vertices x, y ∈ G are adjacent if x ≠ y and xy in I(G), is called the result involution graph and denoted by $Gamm RI_G$. In this work, we investigate the structure of the result involution graphs for the Janko groups J4 to obtain certain number of graph attributes.
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| first_indexed | 2024-03-07T18:48:40Z |
| format | Article |
| id | doaj.art-c04e5d3037644555b3988e734312c64c |
| institution | Directory Open Access Journal |
| issn | 2790-5233 2790-5241 |
| language | English |
| last_indexed | 2024-03-07T18:48:40Z |
| publishDate | 2023-06-01 |
| publisher | College of Education for Pure Sciences |
| record_format | Article |
| series | Wasit Journal for Pure Sciences |
| spelling | doaj.art-c04e5d3037644555b3988e734312c64c2024-03-02T02:02:59ZengCollege of Education for Pure SciencesWasit Journal for Pure Sciences2790-52332790-52412023-06-012210.31185/wjps.133Study The Result Involution Graph For The Janko Group J4 Ali AubaidAhmed Arkan Meteab Consider a finite group G, and define I(G) as a collection of the involution elements in G. The simple undirected graph with vertex set being the elements of G with two vertices x, y ∈ G are adjacent if x ≠ y and xy in I(G), is called the result involution graph and denoted by $Gamm RI_G$. In this work, we investigate the structure of the result involution graphs for the Janko groups J4 to obtain certain number of graph attributes. https://wjps.uowasit.edu.iq/index.php/wjps/article/view/133Janko groups, Result Involution Graph, Connectedness, Girth. |
| spellingShingle | Ali Aubaid Ahmed Arkan Meteab Study The Result Involution Graph For The Janko Group J4 Wasit Journal for Pure Sciences Janko groups, Result Involution Graph, Connectedness, Girth. |
| title | Study The Result Involution Graph For The Janko Group J4 |
| title_full | Study The Result Involution Graph For The Janko Group J4 |
| title_fullStr | Study The Result Involution Graph For The Janko Group J4 |
| title_full_unstemmed | Study The Result Involution Graph For The Janko Group J4 |
| title_short | Study The Result Involution Graph For The Janko Group J4 |
| title_sort | study the result involution graph for the janko group j4 |
| topic | Janko groups, Result Involution Graph, Connectedness, Girth. |
| url | https://wjps.uowasit.edu.iq/index.php/wjps/article/view/133 |
| work_keys_str_mv | AT aliaubaid studytheresultinvolutiongraphforthejankogroupj4 AT ahmedarkanmeteab studytheresultinvolutiongraphforthejankogroupj4 |