comparison of topological indices based on iterated ‘sum’ versus ‘product’ operations
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abstract
the padmakar-ivan (pi) index is a first-generation topological index (ti) based on sums overall edges between numbers of edges closer to one endpoint and numbers of edges closer to theother endpoint. edges at equal distances from the two endpoints are ignored. an analogousdefinition is valid for the wiener index w, with the difference that sums are replaced byproducts. a few other tis are discussed, and comparisons are made between them. the bestcorrelation is observed between indices g and pi; satisfactory correlations exist between w/n3and pi/n2, where n denotes the number of vertices in the hydrogen-depleted graph.
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Journal title:
iranian journal of mathematical chemistryPublisher: university of kashan
ISSN 2228-6489
volume 1
issue Issue 1 (Special Issue on the Role of PI Index in Nanotechnology) 2010
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