On the Harary index of graph operations

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dc.contributor.authorDas, Kinkar C.
dc.contributor.authorXu, Kexiang
dc.contributor.authorCangul, Ismail Naci
dc.contributor.authorCevik, Ahmet Sinan
dc.contributor.authorGraovac, Ante
dc.date.accessioned2020-03-26T18:42:44Z
dc.date.available2020-03-26T18:42:44Z
dc.date.issued2013
dc.departmentSelçuk Üniversitesien_US
dc.description.abstractThe Harary index is defined as the sum of reciprocals of distances between all pairs of vertices of a connected graph. In this paper, expressions for the Harary indices of the join, corona product, Cartesian product, composition and disjunction of graphs are derived and the indices for some well-known graphs are evaluated. In derivations some terms appear which are similar to the Harary index and we name them the second and third Harary index.en_US
dc.description.sponsorshipFaculty research Fund, Sungkyunkwan University; National Research Foundation [2013R1A1A2009341]; China Postdoctoral Science FoundationChina Postdoctoral Science Foundation [2013M530253]; NNSF of ChinaNational Natural Science Foundation of China [11201227]; Scientific Project Office Funds (BAP) of UludagUludag University [F2012/15, F2012/19, F2012/20]; SelcukSelcuk University [13701071]en_US
dc.description.sponsorshipKCD was supported by the Faculty research Fund, Sungkyunkwan University, 2012, and National Research Foundation funded by the Korean government with the grant no. 2013R1A1A2009341; and KX was supported by China Postdoctoral Science Foundation (2013M530253) and the NNSF of China with the number 11201227. Moreover, INC and ASC were supported by the Scientific Project Office Funds (BAP) of Uludag (with Project Code F2012/15, F2012/19 and F2012/20) and Selcuk (with Project Code 13701071) Universities, respectively.en_US
dc.identifier.doi10.1186/1029-242X-2013-339en_US
dc.identifier.issn1029-242Xen_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.urihttps://dx.doi.org/10.1186/1029-242X-2013-339
dc.identifier.urihttps://hdl.handle.net/20.500.12395/29696
dc.identifier.wosWOS:000323663700001en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherSPRINGEROPENen_US
dc.relation.ispartofJOURNAL OF INEQUALITIES AND APPLICATIONSen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.selcuk20240510_oaigen_US
dc.subjectgraphen_US
dc.subjectHarary indexen_US
dc.subjectgraph operationsen_US
dc.titleOn the Harary index of graph operationsen_US
dc.typeArticleen_US

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