New Bounds for the Randić Index of Graphs

Maryam Atapour, Akbar Jahanbani, Rana Khoeilar and Barbara Martinucci

Journal of Mathematics, 2021, vol. 2021, 1-8

Abstract: The Randić index of a graph G is defined as the sum of weights 1/dudv over all edges uv of G, where du and dv are the degrees of the vertices u and v in G, respectively. In this paper, we will obtain lower and upper bounds for the Randić index in terms of size, maximum degree, and minimum degree. Moreover, we obtain a generally lower and a general upper bound for the Randić index.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:9938406

DOI: 10.1155/2021/9938406

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