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https://ir.vidyasagar.ac.in/jspui/handle/123456789/7528| Title: | Novel Spectral Conditions for Diagonalizability and Connectivity in Spectral Fuzzy Graph Theory |
| Authors: | Rangasamy, Buvaneswari Karuppusamy, Senbaga Priya Mofidnakhaei, Farshid |
| Keywords: | Spectral fuzzy graph adjacency matrix laplacian matrix eigenvalue eigenvector connected fuzzy graphs |
| Issue Date: | 31-Dec-2024 |
| Publisher: | Registrar, Vidyasagar University on behalf of Vidyasagar University Publication Division, Midnapore 721 102, West Bengal, India |
| Series/Report no.: | Vol. 29;6 |
| Abstract: | This paper explores the properties of fuzzy matrices in fuzzy graphs and the conditions for the diagonalizability of fuzzy matrices. Necessary and sufficient conditions for fuzzy graphs to have non-negative and distinct eigenvalues are provided, and the existence of orthogonal eigenvectors corresponding to distinct eigenvalues in fuzzy matrices are discussed. Also, conditions for the second smallest eigenvalue of the Laplacian matrix are established to ensure connectivity in fuzzy graphs. |
| Description: | PP:47-59 |
| URI: | https://ir.vidyasagar.ac.in/jspui/handle/123456789/7528 |
| ISSN: | 2350-0352 |
| Appears in Collections: | Journal of Physical Sciences, Vol. 29 (2024) |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| JPS-v29-Art6.pdf | PP:47-59 | 587.7 kB | Adobe PDF | View/Open |
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