First General Zagreb Index of Generalized F -sum Graphs

H. M. Awais, Muhammad Javaid and Akbar Ali

Discrete Dynamics in Nature and Society, 2020, vol. 2020, 1-16

Abstract:

The first general Zagreb (FGZ) index (also known as the general zeroth-order Randić index) of a graph can be defined as , where is a real number. As is equal to the order and size of when and , respectively, is usually assumed to be different from 0 to 1. In this paper, for every integer , the FGZ index is computed for the generalized F-sums graphs which are obtained by applying the different operations of subdivision and Cartesian product. The obtained results can be considered as the generalizations of the results appeared in (IEEE Access; 7 (2019) 47494–47502) and (IEEE Access 7 (2019) 105479–105488).

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:2954975

DOI: 10.1155/2020/2954975

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