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Aα-spectrum of duplicate and corona operations in graphs

dc.creatorBrondani, Andre Ebling
dc.creatorFrança, Francisca Andrea Macedo
dc.creatorLima, Rayan G. O. J.
dc.date2023-07-18
dc.date.accessioned2023-07-21T14:31:38Z
dc.date.available2023-07-21T14:31:38Z
dc.identifierhttps://www.revistaproyecciones.cl/index.php/proyecciones/article/view/5765
dc.identifier10.22199/issn.0717-6279-5765
dc.identifier.urihttps://revistaschilenas.uchile.cl/handle/2250/232393
dc.descriptionLet G be a graph of order n, A(G) its adjacency matrix and D(G) the diagonal matrix of degrees of G. In 2017, for every α in [0; 1], Nikiforov defined the matrix Aα(G) = αD(G)+ (1-α)A(G). In this paper, we investigate the Aα-spectrum of graphs obtained from the duplicate and corona operations. As an application of our results, we provide conditions for the construction of some pairs of non isomorphic Aα-cospectral graphs.en-US
dc.formatapplication/pdf
dc.languageeng
dc.publisherUniversidad Católica del Norte.en-US
dc.relationhttps://www.revistaproyecciones.cl/index.php/proyecciones/article/view/5765/4333
dc.rightsCopyright (c) 2023 Andre Ebling Brondani, Francisca Andrea Macedo França, Rayan G. O. J. Limaen-US
dc.rightshttps://creativecommons.org/licenses/by/4.0en-US
dc.sourceProyecciones (Antofagasta, On line); Vol. 42 No. 4 (2023); 967-982en-US
dc.sourceProyecciones. Revista de Matemática; Vol. 42 Núm. 4 (2023); 967-982es-ES
dc.source0717-6279
dc.source10.22199/issn.0717-6279-2023-04
dc.subjectaα-spectrumen-US
dc.subjectduplicateen-US
dc.subjectduplication coronaen-US
dc.subjectduplication edge coronaen-US
dc.subjectduplication neighborhood coronaen-US
dc.subject05C50en-US
dc.subject15A18en-US
dc.titleAα-spectrum of duplicate and corona operations in graphsen-US
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion
dc.typetexten-US


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