Strong incidence domination in some operations of fuzzy incidence graphs and application in security allocation
This paper explores operations on fuzzy incidence graphs (FIGs), focusing on join, Cartesian product, tensor product, and composition. Emphasizing strong fuzzy incidence graphs (SFIGs), the study examines strong incidence domination (SID) and the strong incidence domination number (SIDN) in these op...
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| Format: | Article |
| Language: | English |
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World Scientific Publishing
2024-12-01
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| Series: | International Journal of Mathematics for Industry |
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| Online Access: | https://www.worldscientific.com/doi/10.1142/S2661335224500229 |
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| _version_ | 1832576336517922816 |
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| author | Kavya R. Nair M. S. Sunitha |
| author_facet | Kavya R. Nair M. S. Sunitha |
| author_sort | Kavya R. Nair |
| collection | DOAJ |
| description | This paper explores operations on fuzzy incidence graphs (FIGs), focusing on join, Cartesian product, tensor product, and composition. Emphasizing strong fuzzy incidence graphs (SFIGs), the study examines strong incidence domination (SID) and the strong incidence domination number (SIDN) in these operations. Basic properties of FIGs resulting from these operations are studied, and bounds for the SIDN of the product of two SFIGs are established for Cartesian and tensor products. The research includes FIGs with strong join and composition, as well as complete fuzzy incidence graphs (CFIGs) and FIGs with effective pairs. Additionally, the paper discusses an application of SID in security allocation. |
| format | Article |
| id | doaj-art-544722ef369547d99dc90827c52cfbb4 |
| institution | Kabale University |
| issn | 2661-3352 2661-3344 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | World Scientific Publishing |
| record_format | Article |
| series | International Journal of Mathematics for Industry |
| spelling | doaj-art-544722ef369547d99dc90827c52cfbb42025-01-31T06:15:28ZengWorld Scientific PublishingInternational Journal of Mathematics for Industry2661-33522661-33442024-12-01160110.1142/S2661335224500229Strong incidence domination in some operations of fuzzy incidence graphs and application in security allocationKavya R. Nair0M. S. Sunitha1Department of Mathematics, National Institute of Technology, Calicut, Kerala, IndiaDepartment of Mathematics, National Institute of Technology, Calicut, Kerala, IndiaThis paper explores operations on fuzzy incidence graphs (FIGs), focusing on join, Cartesian product, tensor product, and composition. Emphasizing strong fuzzy incidence graphs (SFIGs), the study examines strong incidence domination (SID) and the strong incidence domination number (SIDN) in these operations. Basic properties of FIGs resulting from these operations are studied, and bounds for the SIDN of the product of two SFIGs are established for Cartesian and tensor products. The research includes FIGs with strong join and composition, as well as complete fuzzy incidence graphs (CFIGs) and FIGs with effective pairs. Additionally, the paper discusses an application of SID in security allocation.https://www.worldscientific.com/doi/10.1142/S2661335224500229Fuzzy incidence graphsweak fuzzy incidence cycleCartesian productjointensor productcomposition |
| spellingShingle | Kavya R. Nair M. S. Sunitha Strong incidence domination in some operations of fuzzy incidence graphs and application in security allocation International Journal of Mathematics for Industry Fuzzy incidence graphs weak fuzzy incidence cycle Cartesian product join tensor product composition |
| title | Strong incidence domination in some operations of fuzzy incidence graphs and application in security allocation |
| title_full | Strong incidence domination in some operations of fuzzy incidence graphs and application in security allocation |
| title_fullStr | Strong incidence domination in some operations of fuzzy incidence graphs and application in security allocation |
| title_full_unstemmed | Strong incidence domination in some operations of fuzzy incidence graphs and application in security allocation |
| title_short | Strong incidence domination in some operations of fuzzy incidence graphs and application in security allocation |
| title_sort | strong incidence domination in some operations of fuzzy incidence graphs and application in security allocation |
| topic | Fuzzy incidence graphs weak fuzzy incidence cycle Cartesian product join tensor product composition |
| url | https://www.worldscientific.com/doi/10.1142/S2661335224500229 |
| work_keys_str_mv | AT kavyarnair strongincidencedominationinsomeoperationsoffuzzyincidencegraphsandapplicationinsecurityallocation AT mssunitha strongincidencedominationinsomeoperationsoffuzzyincidencegraphsandapplicationinsecurityallocation |