On the Inverse Problem for Some Topological Indices

Durbar Maji, Ganesh Ghorai, Muhammad Khalid Mahmood, Md. Ashraful Alam and Lazim Abdullah

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

Abstract: The study of the inverse problem (IP) based on the topological indices (TIs) deals with the numerical relations to TIs. Mathematically, the IP can be expressed as follows: given a graph parameter/TI that assigns a non-negative integer value g to every graph within a given family G of graphs, find some G∈G for which TIG=g. It was initiated by the Zefirov group in Moscow and later Gutman et al. proposed it. In this paper, we have established the IP only for the Y-index, Gourava indices, second hyper-Zagreb index, reformulated first Zagreb index, and reformulated F-index since they are closely related to each other. We have also studied the same which is true for the molecular, tree, unicyclic, and bicyclic graphs.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:9411696

DOI: 10.1155/2021/9411696

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