Randic Matrix and Randic Energy

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dc.contributor.authorBozkurt, Ş. Burcu
dc.contributor.authorGüngör, A. Dilek
dc.contributor.authorGutman, Ivan
dc.contributor.authorÇevik, A. Sinan
dc.date.accessioned2020-03-26T18:04:53Z
dc.date.available2020-03-26T18:04:53Z
dc.date.issued2010
dc.departmentSelçuk Üniversitesien_US
dc.description.abstractIf G is a graph on n vertices, and d(i) is the degree of its i-th vertex, then the Randic matrix of G is the square matrix of order n whose (i, j)-entry is equal to 1/root d(i) d(j) di if the i-th and j-th vertex of G are adjacent, and zero otherwise. This matrix in a natural way occurs within Laplacian spectral theory, and provides the non-trivial part of the so-called normalized Laplacian matrix. In spite of its obvious relation to the famous Randic index, the Randic matrix seems to have not been much studied in mathematical chemistry. In this paper we define the Randic energy as the sum of the absolute values of the eigenvalues of the Randic matrix, and establish mine of its properties, in particular lower and upper bounds for it.en_US
dc.description.sponsorshipSerbian Ministry of Science and Technological Development [144015G]en_US
dc.description.sponsorshipThis work was partially supported by the Research grant 144015G of the Serbian Ministry of Science and Technological Development.en_US
dc.identifier.citationBozkurt, Ş. B., Güngör, A. D., Gutman, I., Çevik, A. S., (2010). Randic Matrix and Randic Energy. Match-Communications in Mathematical and in Computer Chemistry, (64), 239-250.
dc.identifier.endpage250en_US
dc.identifier.issn0340-6253en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.startpage239en_US
dc.identifier.urihttps://hdl.handle.net/20.500.12395/25200
dc.identifier.volume64en_US
dc.identifier.wosWOS:000281508800023en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.institutionauthorBozkurt, Ş. Burcu
dc.institutionauthorGüngör, A. Dilek
dc.institutionauthorÇevik, A. Sinan
dc.language.isoenen_US
dc.publisherUniv Kragujevac, Fac Scienceen_US
dc.relation.ispartofMatch-Communications in Mathematical and in Computer Chemistryen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.selcuk20240510_oaigen_US
dc.titleRandic Matrix and Randic Energyen_US
dc.typeArticleen_US

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