CONSTRUCT THE TRIPLE ZERO GRAPH OF RING Z_n USING PYTHON
Let be a commutative ring with nonzero identity and there exists such that , , , denotes the set of all triple zero elements of . The triple zero graph of , denoted by , is an undirected graph with vertex set where two distinct vertices and are adjacent if and only if , and ther...
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Universitas Pattimura
2024-03-01
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| Series: | Barekeng |
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| Online Access: | https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/11007 |
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| author | Putri Wulandari Vika Yugi Kurniawan Nughthoh Arfawi Kurdhi |
| author_facet | Putri Wulandari Vika Yugi Kurniawan Nughthoh Arfawi Kurdhi |
| author_sort | Putri Wulandari |
| collection | DOAJ |
| description | Let be a commutative ring with nonzero identity and there exists such that , , , denotes the set of all triple zero elements of . The triple zero graph of , denoted by , is an undirected graph with vertex set where two distinct vertices and are adjacent if and only if , and there exists a nonzero element of such that , , and . Python is a programming language with simple and easy-to-learn code that can be used to solve problems in algebra and graphs. In this paper, we construct the triple zero graph of ring using Python. Based on the output of the program, several properties of are obtained, such as if and , then is a planar graph, if with is prime numbers, then is a complete graph , and if with is prime numbers and , then is a connected graph. |
| format | Article |
| id | doaj-art-4986c7c45fac4e70a145a93c0a8137a3 |
| institution | Kabale University |
| issn | 1978-7227 2615-3017 |
| language | English |
| publishDate | 2024-03-01 |
| publisher | Universitas Pattimura |
| record_format | Article |
| series | Barekeng |
| spelling | doaj-art-4986c7c45fac4e70a145a93c0a8137a32025-08-20T03:37:31ZengUniversitas PattimuraBarekeng1978-72272615-30172024-03-011810507051610.30598/barekengvol18iss1pp0507-051611007CONSTRUCT THE TRIPLE ZERO GRAPH OF RING Z_n USING PYTHONPutri Wulandari0Vika Yugi Kurniawan1Nughthoh Arfawi Kurdhi2Department of Mathematics, Faculty of Mathematics and Natural Science, Sebelas Maret University, IndonesiaDepartment of Mathematics, Faculty of Mathematics and Natural Science, Sebelas Maret University, IndonesiaDepartment of Mathematics, Faculty of Mathematics and Natural Science, Sebelas Maret University, IndonesiaLet be a commutative ring with nonzero identity and there exists such that , , , denotes the set of all triple zero elements of . The triple zero graph of , denoted by , is an undirected graph with vertex set where two distinct vertices and are adjacent if and only if , and there exists a nonzero element of such that , , and . Python is a programming language with simple and easy-to-learn code that can be used to solve problems in algebra and graphs. In this paper, we construct the triple zero graph of ring using Python. Based on the output of the program, several properties of are obtained, such as if and , then is a planar graph, if with is prime numbers, then is a complete graph , and if with is prime numbers and , then is a connected graph.https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/11007triple zero graphpython algorithm |
| spellingShingle | Putri Wulandari Vika Yugi Kurniawan Nughthoh Arfawi Kurdhi CONSTRUCT THE TRIPLE ZERO GRAPH OF RING Z_n USING PYTHON Barekeng triple zero graph python algorithm |
| title | CONSTRUCT THE TRIPLE ZERO GRAPH OF RING Z_n USING PYTHON |
| title_full | CONSTRUCT THE TRIPLE ZERO GRAPH OF RING Z_n USING PYTHON |
| title_fullStr | CONSTRUCT THE TRIPLE ZERO GRAPH OF RING Z_n USING PYTHON |
| title_full_unstemmed | CONSTRUCT THE TRIPLE ZERO GRAPH OF RING Z_n USING PYTHON |
| title_short | CONSTRUCT THE TRIPLE ZERO GRAPH OF RING Z_n USING PYTHON |
| title_sort | construct the triple zero graph of ring z n using python |
| topic | triple zero graph python algorithm |
| url | https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/11007 |
| work_keys_str_mv | AT putriwulandari constructthetriplezerographofringznusingpython AT vikayugikurniawan constructthetriplezerographofringznusingpython AT nughthoharfawikurdhi constructthetriplezerographofringznusingpython |