Please use this identifier to cite or link to this item: https://scidar.kg.ac.rs/handle/123456789/17377
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dc.contributor.authorGutman, Ivan-
dc.contributor.authorFurtula, Boris-
dc.contributor.authorElphick, Clive-
dc.date.accessioned2023-03-20T08:48:49Z-
dc.date.available2023-03-20T08:48:49Z-
dc.date.issued2014-
dc.identifier.issn0340-6253en_US
dc.identifier.urihttps://scidar.kg.ac.rs/handle/123456789/17377-
dc.description.abstractThree vertex-degree-based graph invariants are presented, that earlier have been considered in the chemical and/or mathematical literature, but that evaded the attention of most mathematical chemists. These are the reciprocal Randić index (\(RR\)), the reduced second Zagreb index \(RM_2\), and the reduced reciprocal Randić index (\(RRR\)). If \(d_1, d_2,\ldots, d_n\) are the degrees of the vertices of the graph \(G = (V,E)\), then \[ RR = \sum_{ij\in E} \sqrt{d_i\,d_j} \quad RM_2 = \sum_{ij\in E} (d_i - 1)(d_j - 1) \quad RRR = \sum_{ij\in E} \sqrt{(d_i - 1)(d_j - 1)} \ . \] We outline the literature sources of these topological indices, their main mathematical properties, and establish their correlating abilities w.r.t. characteristic physico-chemical properties of alkanes.en_US
dc.language.isoen_USen_US
dc.relation.ispartofMATCH Communications in Mathematical and in Computer Chemistryen_US
dc.subjectdegree of a vertexen_US
dc.subjectreciprocal Randić indexen_US
dc.subjectreduced second Zagreb indexen_US
dc.subjectreduced reciprocal Randić indexen_US
dc.titleThree new/old vertex-degree-based topological indicesen_US
dc.typearticleen_US
dc.description.versionPublisheden_US
dc.type.versionPublishedVersionen_US
Appears in Collections:Faculty of Science, Kragujevac

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