Computing Eccentricity-Based Topological Indices of 2-Power Interconnection Networks
Joint Authors
Imran, Muhammad
Baig, Abdul Qudair
Khalid, Waqas
Zaighum, Muhammad Asad
Iqbal, Muhammad Azhar
Liu, Yun
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-06-13
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
In a connected graph G with a vertex v, the eccentricity εv of v is the distance between v and a vertex farthest from v in the graph G.
Among eccentricity-based topological indices, the eccentric connectivity index, the total eccentricity index, and the Zagreb index are of vital importance.
The eccentric connectivity index of G is defined by ξG = ∑v∈VGdvεv, where dv is the degree of the vertex v and εv is the eccentricity of v in G.
The topological structure of an interconnected network can be modeled by using graph explanation as a tool.
This fact has been universally accepted and used by computer scientists and engineers.
More than that, practically, it has been shown that graph theory is a very powerful tool for designing and analyzing the topological structure of interconnection networks.
The topological properties of the interconnection network have been computed by Hayat and Imran (2014), Haynes et al.
(2002), and Imran et al.
(2015).
In this paper, we compute the close results for eccentricity-based topological indices such as the eccentric connectivity index, the total eccentricity index, and the first, second, and third Zagreb eccentricity index of a hypertree, sibling tree, and X-tree for k-level by using the edge partition method.
American Psychological Association (APA)
Imran, Muhammad& Iqbal, Muhammad Azhar& Liu, Yun& Baig, Abdul Qudair& Khalid, Waqas& Zaighum, Muhammad Asad. 2020. Computing Eccentricity-Based Topological Indices of 2-Power Interconnection Networks. Journal of Chemistry،Vol. 2020, no. 2020, pp.1-7.
https://search.emarefa.net/detail/BIM-1181645
Modern Language Association (MLA)
Imran, Muhammad…[et al.]. Computing Eccentricity-Based Topological Indices of 2-Power Interconnection Networks. Journal of Chemistry No. 2020 (2020), pp.1-7.
https://search.emarefa.net/detail/BIM-1181645
American Medical Association (AMA)
Imran, Muhammad& Iqbal, Muhammad Azhar& Liu, Yun& Baig, Abdul Qudair& Khalid, Waqas& Zaighum, Muhammad Asad. Computing Eccentricity-Based Topological Indices of 2-Power Interconnection Networks. Journal of Chemistry. 2020. Vol. 2020, no. 2020, pp.1-7.
https://search.emarefa.net/detail/BIM-1181645
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1181645