Set Domination in Fuzzy Graphs Using Strong Arcs
Set domination in fuzzy graphs is very useful for solving traffic problems during communication in computer networks and travelling networks. In this article, the concept of set domination in fuzzy graphs using strong arcs is introduced. The strong set domination number of complete fuzzy graph and c...
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| Format: | Article |
| Language: | English |
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Mathyze Publishers
2022-08-01
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| Series: | Pan-American Journal of Mathematics |
| Online Access: | https://mathyze.com/index.php/pajm/article/view/45 |
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| _version_ | 1849419273094561792 |
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| author | O.T. Manjusha |
| author_facet | O.T. Manjusha |
| author_sort | O.T. Manjusha |
| collection | DOAJ |
| description | Set domination in fuzzy graphs is very useful for solving traffic problems during communication in computer networks and travelling networks. In this article, the concept of set domination in fuzzy graphs using strong arcs is introduced. The strong set domination number of complete fuzzy graph and complete bipartite fuzzy graph is determined. It is obtained the properties of the new parameter and related it to some other known domination parameters of fuzzy graphs. An upper bound for the strong set domination number of fuzzy graphs is also obtained. |
| format | Article |
| id | doaj-art-73fd436b1b224132a8e6e8504edbfc13 |
| institution | Kabale University |
| issn | 2832-4293 |
| language | English |
| publishDate | 2022-08-01 |
| publisher | Mathyze Publishers |
| record_format | Article |
| series | Pan-American Journal of Mathematics |
| spelling | doaj-art-73fd436b1b224132a8e6e8504edbfc132025-08-20T03:32:11ZengMathyze PublishersPan-American Journal of Mathematics2832-42932022-08-011010.28919/cpr-pajm/1-99Set Domination in Fuzzy Graphs Using Strong ArcsO.T. Manjusha0GOOVT ARTS AND SCIENCE COLLEGE, KONDOTTYSet domination in fuzzy graphs is very useful for solving traffic problems during communication in computer networks and travelling networks. In this article, the concept of set domination in fuzzy graphs using strong arcs is introduced. The strong set domination number of complete fuzzy graph and complete bipartite fuzzy graph is determined. It is obtained the properties of the new parameter and related it to some other known domination parameters of fuzzy graphs. An upper bound for the strong set domination number of fuzzy graphs is also obtained.https://mathyze.com/index.php/pajm/article/view/45 |
| spellingShingle | O.T. Manjusha Set Domination in Fuzzy Graphs Using Strong Arcs Pan-American Journal of Mathematics |
| title | Set Domination in Fuzzy Graphs Using Strong Arcs |
| title_full | Set Domination in Fuzzy Graphs Using Strong Arcs |
| title_fullStr | Set Domination in Fuzzy Graphs Using Strong Arcs |
| title_full_unstemmed | Set Domination in Fuzzy Graphs Using Strong Arcs |
| title_short | Set Domination in Fuzzy Graphs Using Strong Arcs |
| title_sort | set domination in fuzzy graphs using strong arcs |
| url | https://mathyze.com/index.php/pajm/article/view/45 |
| work_keys_str_mv | AT otmanjusha setdominationinfuzzygraphsusingstrongarcs |