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First General Zagreb Index of Generalized F -sum Graphs

Author

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  • H. M. Awais
  • Muhammad Javaid
  • Akbar Ali

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).

Suggested Citation

  • H. M. Awais & Muhammad Javaid & Akbar Ali, 2020. "First General Zagreb Index of Generalized F -sum Graphs," Discrete Dynamics in Nature and Society, Hindawi, vol. 2020, pages 1-16, December.
  • Handle: RePEc:hin:jnddns:2954975
    DOI: 10.1155/2020/2954975
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