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In this short paper, we establish formulae to compute Wiener index, reciprocal Wiener index and peripheral Wiener index of graphs using adjacency matrix.
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Wiener index and Steiner 3-Wiener index of graphs
Asian-European Journal of Mathematics, 2021Let [Formula: see text] be a set of vertices of a connected graph [Formula: see text]. The Steiner distance of [Formula: see text] is the minimum size of a connected subgraph of [Formula: see text] containing all the vertices of [Formula: see text].
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We introduce a modification of the Wiener index. This modified Wiener index has a structural interpretation in terms of the greater weights of outer than inner bonds in a saturated hydrocarbon. Both the Wiener index and its modification together with the molecular polarity index lead to comparable structure-property models.
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Wiener Index, Hyper-Wiener Index, Harary Index and Hamiltonicity Properties of graphs
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