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Energy and Randić energy of special graphs

dc.creatorT. K., Jahfar
dc.creatorA. V., Chithra
dc.date2022-07-26
dc.date.accessioned2022-08-30T15:59:38Z
dc.date.available2022-08-30T15:59:38Z
dc.identifierhttps://www.revistaproyecciones.cl/index.php/proyecciones/article/view/4616
dc.identifier10.22199/issn.0717-6279-4616
dc.identifier.urihttps://revistaschilenas.uchile.cl/handle/2250/207083
dc.descriptionIn this paper, we determine the Randić energy of the m-splitting graph, the m-shadow graph and the m-duplicate graph of a given graph, m being an arbitrary integer. Our results allow the construction of an infinite sequence of graphs having the same Randić energy. Further, we determine some graph invariants like the degree Kirchhoff index, the Kemeny’s constant and the number of spanning trees of some special graphs. From our results, we indicate how to obtain infinitely many pairs of equienergetic graphs, Randić equienergetic graphs and also, infinite families of integral 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/4616/4088
dc.rightsCopyright (c) 2022 Jahfar T. K., Chithra A. V.en-US
dc.rightshttps://creativecommons.org/licenses/by/4.0en-US
dc.sourceProyecciones (Antofagasta, On line); Vol. 41 No. 4 (2022); 855-877en-US
dc.sourceProyecciones. Revista de Matemática; Vol. 41 Núm. 4 (2022); 855-877es-ES
dc.source0717-6279
dc.subjectm-splitting graphen-US
dc.subjectm-shadow graphen-US
dc.subjectm-duplicate graphen-US
dc.subjectenergyen-US
dc.subjectRandić energyen-US
dc.subjectequienergetic graphsen-US
dc.subjectintegral graphsen-US
dc.subject05C50en-US
dc.titleEnergy and Randić energy of special graphsen-US
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion
dc.typePeer-reviewed Articleen-US
dc.typetexten-US


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