Novel Spectral Conditions for Diagonalizability and Connectivity in Spectral Fuzzy Graph Theory

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DC Field	Value	Language
dc.contributor.author	Rangasamy, Buvaneswari	-
dc.contributor.author	Karuppusamy, Senbaga Priya	-
dc.contributor.author	Mofidnakhaei, Farshid	-
dc.date.accessioned	2025-06-25T15:36:25Z	-
dc.date.available	2025-06-25T15:36:25Z	-
dc.date.issued	2024-12-31	-
dc.identifier.issn	2350-0352	-
dc.identifier.uri	https://ir.vidyasagar.ac.in/jspui/handle/123456789/7528	-
dc.description	PP:47-59	en_US
dc.description.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.	en_US
dc.language.iso	en	en_US
dc.publisher	Registrar, Vidyasagar University on behalf of Vidyasagar University Publication Division, Midnapore 721 102, West Bengal, India	en_US
dc.relation.ispartofseries	Vol. 29;6	-
dc.subject	Spectral fuzzy graph	en_US
dc.subject	adjacency matrix	en_US
dc.subject	laplacian matrix	en_US
dc.subject	eigenvalue	en_US
dc.subject	eigenvector	en_US
dc.subject	connected fuzzy graphs	en_US
dc.title	Novel Spectral Conditions for Diagonalizability and Connectivity in Spectral Fuzzy Graph Theory	en_US
dc.type	Article	en_US
Appears in Collections:	Journal of Physical Sciences, Vol. 29 (2024)

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