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Topological index based on the ratios of geometrical and arithmetical means of end-vertex degrees of edges

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Abstract

Research on the topological indices based on end-vertex degrees of edges has been intensively rising recently. Randić index, one of the best-known topological indices in chemical graph theory, is belonging to this class of indices. In this paper, we introduce a novel topological index based on the end-vertex degrees of edges and its basic features are presented here. We named it as geometrical-arithmetic index (GA).

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Authors and Affiliations

  1. Faculty of Natural Sciences and Mathematics, University of Split, 21000, Split, Croatia

    Damir Vukičević

  2. Faculty of Science, University of Kragujevac, P.O. Box 60, 34000, Kragujevac, Serbia

    Boris Furtula

Authors
  1. Damir Vukičević
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  2. Boris Furtula
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Correspondence to Boris Furtula.

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Vukičević, D., Furtula, B. Topological index based on the ratios of geometrical and arithmetical means of end-vertex degrees of edges. J Math Chem 46, 1369–1376 (2009). https://doi.org/10.1007/s10910-009-9520-x

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  • DOI: https://doi.org/10.1007/s10910-009-9520-x

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