On Average Eccentricity of Graphs

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dc.contributor.authorDas, Kinkar Ch.
dc.contributor.authorMaden, A. Dilek
dc.contributor.authorCangul, I. Naci
dc.contributor.authorCevik, A. Sinan
dc.date.accessioned2020-03-26T19:42:11Z
dc.date.available2020-03-26T19:42:11Z
dc.date.issued2017
dc.departmentSelçuk Üniversitesien_US
dc.description.abstractThe eccentricity of a vertex is the maximum distance from it to any other vertex and the average eccentricity avec(G) of a graph G is the mean value of eccentricities of all vertices of G. In this paper we present some lower and upper bounds for the average eccentricity of a connected (molecular) graph in terms of its structural parameters such as number of vertices, diameter, clique number, independence number and the first Zagreb index. Also, we obtain a relation between average eccentricity and first Zagreb index. Moreover, we compare average eccentricity with graph energy, ABC index and index.en_US
dc.description.sponsorshipResearch Project Office of Selc, uk UniversitySelcuk University; Uludag university research fundUludag University [F-2016/9, F-2015/23, F-2015/17]en_US
dc.description.sponsorshipThe second and fourth authors are partially supported by Research Project Office of Selc, uk University. The third author is supported by Uludag university research fund, project numbers: F-2016/9, F-2015/23 and F-2015/17.en_US
dc.identifier.doi10.1007/s40010-016-0315-8en_US
dc.identifier.endpage30en_US
dc.identifier.issn0369-8203en_US
dc.identifier.issn2250-1762en_US
dc.identifier.issue1en_US
dc.identifier.scopusqualityQ4en_US
dc.identifier.startpage23en_US
dc.identifier.urihttps://dx.doi.org/10.1007/s40010-016-0315-8
dc.identifier.urihttps://hdl.handle.net/20.500.12395/35336
dc.identifier.volume87en_US
dc.identifier.wosWOS:000394364400004en_US
dc.identifier.wosqualityQ3en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherNATL ACAD SCIENCES INDIAen_US
dc.relation.ispartofPROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES INDIA SECTION A-PHYSICAL SCIENCESen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.selcuk20240510_oaigen_US
dc.subjectGraphen_US
dc.subjectDistancesen_US
dc.subjectAverage eccentricityen_US
dc.subjectEccentricityen_US
dc.subjectClique numberen_US
dc.subjectIndependence numberen_US
dc.subjectFirst Zagreb indexen_US
dc.subjectEnergyen_US
dc.subjectGeometric-arithmetic index (GA1)en_US
dc.subjectAtom-bond connectivity index ( ABC)en_US
dc.titleOn Average Eccentricity of Graphsen_US
dc.typeArticleen_US

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