Connecting graphs with R-hypermodules via normal fuzzy subhypermodules
In this paper, we analyze the connection between R-hypermodules and graphs by associating a graph with an R- hypermodule through a normal fuzzy subhypermodule. We investigate the graph's properties, including connectedness, completeness, Eulerian and Hamiltonian characteristics. By defining a r...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
University of Mohaghegh Ardabili
2025-06-01
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| Series: | Journal of Hyperstructures |
| Subjects: | |
| Online Access: | https://jhs.uma.ac.ir/article_3840_447d8c9b233dc11b6b5ca26b02e791d8.pdf |
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| Summary: | In this paper, we analyze the connection between R-hypermodules and graphs by associating a graph with an R- hypermodule through a normal fuzzy subhypermodule. We investigate the graph's properties, including connectedness, completeness, Eulerian and Hamiltonian characteristics. By defining a regular relation based on the fuzzy subhypermodule, we study how algebraic properties of R-hypermodules induence the associated graph. This work contributes to the understanding of fuzzy algebraic structures and their graphical representations, with potential applications in computer science and network theory. |
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| ISSN: | 2251-8436 2322-1666 |