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  • Mathematical aspects of Balaban index
    Knor, Martin ; Škrekovski, Riste ; Tepeh, Aleksandra
    Balaban index is defined as ▫$J(G) = \frac{m}{m-n+2} \sum \frac{1}{\sqrt{w(u) \cdot w(v)}}$▫, where the sum is taken over all edges of a connected graph ▫$G$▫, ▫$n$▫ and ▫$m$▫ are the cardinalities ... of the vertex and the edge set of ▫$G$▫, respectively, and ▫$w(u)$▫ (resp. ▫$w(v)$▫) denotes the sum of distances from ▫$u$▫ (resp. ▫$v$▫) to all the other vertices of ▫$G$▫. In the paper we summarize known results, clarify some ambiguities in the literature, and expose problems and conjectures on this molecular descriptor with attractive properties. In parallel, we discuss a related sum-Balaban index.
    Vir: Match : communications in mathematical and in computer chemistry. - ISSN 0340-6253 (Vol. 79, no. 3, 2018, str. 685-716)
    Vrsta gradiva - članek, sestavni del ; neleposlovje za odrasle
    Leto - 2018
    Jezik - angleški
    COBISS.SI-ID - 2048491539

    Povezava(-e):

    http://match.pmf.kg.ac.rs/electronic_versions/Match79/n3/match79n3_685-716.pdf

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