On Kirchhoff Index and Resistance-Distance Energy of a Graph

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dc.contributor.authorDas, Kinkar Ch
dc.contributor.authorGüngör, A. Dilek
dc.contributor.authorÇevik, A. Sinan
dc.date.accessioned2020-03-26T18:30:57Z
dc.date.available2020-03-26T18:30:57Z
dc.date.issued2012
dc.departmentSelçuk Üniversitesien_US
dc.description.abstractWe report lower hounds for the Kirchhoff index of a connected (molecular) graph in terms of its structural parameters such as the number of vertices (atoms), the number of edges (bonds), maximum vertex degree (valency), second maximum vertex degree and minimum vertex degree. Also we give the Nordhaus-Gaddum-type result for Kirchhoff index. In this paper we define the resistance distance energy as the sum of the absolute values of the eigenvalues of the resistance distance matrix and also we obtain lower and upper bounds for this energy.en_US
dc.description.sponsorshipSungkyunkwan University, Math Modeling HRD Div. Sungkyunkwan University, Suwon, Republic of Korea; Selcuk University, Scientific Research CenterSelcuk Universityen_US
dc.description.sponsorshipK. Ch. Das thanks for support by Sungkyunkwan University BK21 Project, BK21 Math Modeling HRD Div. Sungkyunkwan University, Suwon, Republic of Korea. Moreover, A. D. Gungor and A. S. Cevik would like to thank Selcuk University, Scientific Research Center, for partial financial support.en_US
dc.identifier.citationDas, K. C., Güngör, A. D., Çevik, A. S., (2012). On Kirchhoff Index and Resistance-Distance Energy of a Graph. Match-communications in Mathematical and in Computer Chemistry, 67(2), 541-556.
dc.identifier.endpage556en_US
dc.identifier.issn0340-6253en_US
dc.identifier.issue2en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.startpage541en_US
dc.identifier.urihttps://hdl.handle.net/20.500.12395/28268
dc.identifier.volume67en_US
dc.identifier.wosWOS:000301817800020en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
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/closedAccessen_US
dc.selcuk20240510_oaigen_US
dc.titleOn Kirchhoff Index and Resistance-Distance Energy of a Graphen_US
dc.typeArticleen_US

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