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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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
World Scientific Publishing
2024-12-01
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| Series: | International Journal of Mathematics for Industry |
| Subjects: | |
| Online Access: | https://www.worldscientific.com/doi/10.1142/S2661335224500229 |
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| Summary: | 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. |
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| ISSN: | 2661-3352 2661-3344 |