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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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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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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).

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