THE POWER GRAPH REPRESENTATION FOR INTEGER MODULO GROUP WITH POWER PRIME ORDER
There are many applications of graphs in various fields. Starting from chemical problems, such as the molecular shape of a compound to internet network problems, we can also use graphs to depict the abstract concept of a mathematical structure.. Groups in Algebra can be represented as a graph. This...
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| Format: | Article |
| Language: | English |
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Universitas Pattimura
2023-09-01
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| Series: | Barekeng |
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| Online Access: | https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/8130 |
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| author | Lalu Riski Wirendra Putra Zata Yumni Awanis Salwa Salwa Qurratul Aini I Gede Adhitya Wisnu Wardhana |
| author_facet | Lalu Riski Wirendra Putra Zata Yumni Awanis Salwa Salwa Qurratul Aini I Gede Adhitya Wisnu Wardhana |
| author_sort | Lalu Riski Wirendra Putra |
| collection | DOAJ |
| description | There are many applications of graphs in various fields. Starting from chemical problems, such as the molecular shape of a compound to internet network problems, we can also use graphs to depict the abstract concept of a mathematical structure.. Groups in Algebra can be represented as a graph. This is interesting because Groups are abstract objects in mathematics. The graph of a group shows the physical form of the group by looking at the relationship between its elements. So, we can know the distance of the elements. In 2013, Abawajy et al. conducted studies related to power graphs. Power graph representation of groups of integers modulo with the order of prime numbers has been carried out in 2022 by Syechah, et al. In this article, the author provides the properties of a power graph on a group of integers modulo with the order of powers of prime numbers. |
| format | Article |
| id | doaj-art-681ce629cee24f33bdacd7e6ce81b595 |
| institution | DOAJ |
| issn | 1978-7227 2615-3017 |
| language | English |
| publishDate | 2023-09-01 |
| publisher | Universitas Pattimura |
| record_format | Article |
| series | Barekeng |
| spelling | doaj-art-681ce629cee24f33bdacd7e6ce81b5952025-08-20T03:02:45ZengUniversitas PattimuraBarekeng1978-72272615-30172023-09-011731393140010.30598/barekengvol17iss3pp1393-14008130THE POWER GRAPH REPRESENTATION FOR INTEGER MODULO GROUP WITH POWER PRIME ORDERLalu Riski Wirendra Putra0Zata Yumni Awanis1Salwa Salwa2Qurratul Aini3I Gede Adhitya Wisnu Wardhana4Department of Mathematics, Faculty of Mathematics and Natural Science, University of Mataram, IndonesiaDepartment of Mathematics, Faculty of Mathematics and Natural Science, University of Mataram, IndonesiaDepartment of Mathematics, Faculty of Mathematics and Natural Science, University of Mataram, IndonesiaDepartment of Mathematics, Faculty of Mathematics and Natural Science, University of Mataram, IndonesiaDepartment of Mathematics, Faculty of Mathematics and Natural Science, University of Mataram, IndonesiaThere are many applications of graphs in various fields. Starting from chemical problems, such as the molecular shape of a compound to internet network problems, we can also use graphs to depict the abstract concept of a mathematical structure.. Groups in Algebra can be represented as a graph. This is interesting because Groups are abstract objects in mathematics. The graph of a group shows the physical form of the group by looking at the relationship between its elements. So, we can know the distance of the elements. In 2013, Abawajy et al. conducted studies related to power graphs. Power graph representation of groups of integers modulo with the order of prime numbers has been carried out in 2022 by Syechah, et al. In this article, the author provides the properties of a power graph on a group of integers modulo with the order of powers of prime numbers.https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/8130power graphgrouppower primeinteger modulo |
| spellingShingle | Lalu Riski Wirendra Putra Zata Yumni Awanis Salwa Salwa Qurratul Aini I Gede Adhitya Wisnu Wardhana THE POWER GRAPH REPRESENTATION FOR INTEGER MODULO GROUP WITH POWER PRIME ORDER Barekeng power graph group power prime integer modulo |
| title | THE POWER GRAPH REPRESENTATION FOR INTEGER MODULO GROUP WITH POWER PRIME ORDER |
| title_full | THE POWER GRAPH REPRESENTATION FOR INTEGER MODULO GROUP WITH POWER PRIME ORDER |
| title_fullStr | THE POWER GRAPH REPRESENTATION FOR INTEGER MODULO GROUP WITH POWER PRIME ORDER |
| title_full_unstemmed | THE POWER GRAPH REPRESENTATION FOR INTEGER MODULO GROUP WITH POWER PRIME ORDER |
| title_short | THE POWER GRAPH REPRESENTATION FOR INTEGER MODULO GROUP WITH POWER PRIME ORDER |
| title_sort | power graph representation for integer modulo group with power prime order |
| topic | power graph group power prime integer modulo |
| url | https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/8130 |
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