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First General Zagreb Index of Generalized F-sum Graphs
Joint Authors
Awais, H. M.
Javaid, Muhammad
Ali, Akbar
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-12-09
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
The first general Zagreb (FGZ) index (also known as the general zeroth-order Randić index) of a graph G can be defined as MγG=∑uv∈EGdGγ−1u+dGγ−1v, where γ is a real number.
As MγG is equal to the order and size of G when γ=0 and γ=1, respectively, γ is usually assumed to be different from 0 to 1.
In this paper, for every integer γ≥2, the FGZ index Mγ 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).
American Psychological Association (APA)
Awais, H. M.& Javaid, Muhammad& Ali, Akbar. 2020. First General Zagreb Index of Generalized F-sum Graphs. Discrete Dynamics in Nature and Society،Vol. 2020, no. 2020, pp.1-16.
https://search.emarefa.net/detail/BIM-1152945
Modern Language Association (MLA)
Awais, H. M.…[et al.]. First General Zagreb Index of Generalized F-sum Graphs. Discrete Dynamics in Nature and Society No. 2020 (2020), pp.1-16.
https://search.emarefa.net/detail/BIM-1152945
American Medical Association (AMA)
Awais, H. M.& Javaid, Muhammad& Ali, Akbar. First General Zagreb Index of Generalized F-sum Graphs. Discrete Dynamics in Nature and Society. 2020. Vol. 2020, no. 2020, pp.1-16.
https://search.emarefa.net/detail/BIM-1152945
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1152945