ALGORITHM FOR CONSTRUCTING TRIPLE IDENTITY GRAPH OF RING Z_n USING PYTHON
Let R be a commutative ring. The triple identity graph of ring R is denoted by TE(R) with sets of vertices Two different vertices and are adjacent if and only if there is an element in such that and . To easily visualize the triple identity graph, a program is needed to represent it bri...
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Universitas Pattimura
2024-07-01
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| Series: | Barekeng |
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| Online Access: | https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/12020 |
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| author | Vika Yugi Kurniawan Chessa Fanny Ekasiwi |
| author_facet | Vika Yugi Kurniawan Chessa Fanny Ekasiwi |
| author_sort | Vika Yugi Kurniawan |
| collection | DOAJ |
| description | Let R be a commutative ring. The triple identity graph of ring R is denoted by TE(R) with sets of vertices Two different vertices and are adjacent if and only if there is an element in such that and . To easily visualize the triple identity graph, a program is needed to represent it briefly. Python can easily manipulate, analyze, and visualize data. Therefore, this study uses Python to construct the algorithm for In this research, some examples will be given and then be observed for new characteristics of the triple identity graph of ring such as the connectedness, the diameter, and the girth. And we find the characterize for which graph is empty, connected, or Hamiltonian. |
| format | Article |
| id | doaj-art-4add4847a5664d8dbeb4aa4cef65508c |
| institution | DOAJ |
| issn | 1978-7227 2615-3017 |
| language | English |
| publishDate | 2024-07-01 |
| publisher | Universitas Pattimura |
| record_format | Article |
| series | Barekeng |
| spelling | doaj-art-4add4847a5664d8dbeb4aa4cef65508c2025-08-20T03:14:00ZengUniversitas PattimuraBarekeng1978-72272615-30172024-07-011831629163810.30598/barekengvol18iss3pp1629-163812020ALGORITHM FOR CONSTRUCTING TRIPLE IDENTITY GRAPH OF RING Z_n USING PYTHONVika Yugi Kurniawan0Chessa Fanny Ekasiwi1Department of Mathematics, Faculty of Mathematics and Natural Science, Universitas Sebelas Maret, IndonesiaDepartment of Mathematics, Faculty of Mathematics and Natural Science, Universitas Sebelas Maret, IndonesiaLet R be a commutative ring. The triple identity graph of ring R is denoted by TE(R) with sets of vertices Two different vertices and are adjacent if and only if there is an element in such that and . To easily visualize the triple identity graph, a program is needed to represent it briefly. Python can easily manipulate, analyze, and visualize data. Therefore, this study uses Python to construct the algorithm for In this research, some examples will be given and then be observed for new characteristics of the triple identity graph of ring such as the connectedness, the diameter, and the girth. And we find the characterize for which graph is empty, connected, or Hamiltonian.https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/12020commutative ringtriple identity graphpythoninteger ring modulo-n |
| spellingShingle | Vika Yugi Kurniawan Chessa Fanny Ekasiwi ALGORITHM FOR CONSTRUCTING TRIPLE IDENTITY GRAPH OF RING Z_n USING PYTHON Barekeng commutative ring triple identity graph python integer ring modulo-n |
| title | ALGORITHM FOR CONSTRUCTING TRIPLE IDENTITY GRAPH OF RING Z_n USING PYTHON |
| title_full | ALGORITHM FOR CONSTRUCTING TRIPLE IDENTITY GRAPH OF RING Z_n USING PYTHON |
| title_fullStr | ALGORITHM FOR CONSTRUCTING TRIPLE IDENTITY GRAPH OF RING Z_n USING PYTHON |
| title_full_unstemmed | ALGORITHM FOR CONSTRUCTING TRIPLE IDENTITY GRAPH OF RING Z_n USING PYTHON |
| title_short | ALGORITHM FOR CONSTRUCTING TRIPLE IDENTITY GRAPH OF RING Z_n USING PYTHON |
| title_sort | algorithm for constructing triple identity graph of ring z n using python |
| topic | commutative ring triple identity graph python integer ring modulo-n |
| url | https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/12020 |
| work_keys_str_mv | AT vikayugikurniawan algorithmforconstructingtripleidentitygraphofringznusingpython AT chessafannyekasiwi algorithmforconstructingtripleidentitygraphofringznusingpython |