A generalization of Fiedler's lemma and the spectra of H-join of graphs

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dc.contributor.authorMurugan, S.P.
dc.date.accessioned2023-08-25T11:49:21Z
dc.date.available2023-08-25T11:49:21Z
dc.date.issued2021
dc.descriptionOnly IISER Mohali authors are available in the record.en_US
dc.description.abstractA new generalization of Fiedler's lemma is obtained by introducing the concept of the main function of a matrix. As applications, the universal spectra of the H-join of any graphs (possibly non-regular) and the adjacency spectra of the H-generalized join constrained by (arbitrary) vertex subsets are obtained. The adjacency spectra of the generalized corona of graphs is deduced from the spectra of the H-join of graphs. Also, the construction of infinitely many pairs of non-regular universal cospectral graphs is provided.en_US
dc.identifier.citationLinear Algebra and Its Applications, 625, 20–43.en_US
dc.identifier.urihttps://doi.org/10.1016/j.laa.2021.04.015
dc.identifier.urihttp://hdl.handle.net/123456789/5178
dc.language.isoen_USen_US
dc.publisherEslevieren_US
dc.subjectGraph operationsen_US
dc.subjectGraph eigenvaluesen_US
dc.subjectUniversal adjacency matrixen_US
dc.titleA generalization of Fiedler's lemma and the spectra of H-join of graphsen_US
dc.typeArticleen_US

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