ORIGINAL RESEARCH
Role of Graph Theory to Facilitate Landscape Connectivity: Subdivision of a Harary Graph
Khalid Arif1, Zeeshan Afzal1, Muhammad Nadeem1, Bilal Ahmad1, Azhar Mahmood1, Munawar Iqbal2, Arif Nazir2
 
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1Department of Mathematics and Statistics, University of Lahore, Lahore, Pakistan
2Department of Chemistry, University of Lahore, Lahore, Pakistan
Online publish date: 2018-02-05
Publish date: 2018-03-12
Submission date: 2017-05-22
Final revision date: 2017-07-14
Acceptance date: 2017-07-18
 
Pol. J. Environ. Stud. 2018;27(3):993–999
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ABSTRACT
This work focuses on mapping landscape connectivity by making use of a subdivision of a Harary graph through super edge antimagic total labeling. This study employs a Harary graph by inserting h vertices in each edge, where h = 2n, n ≥ 1 using the super (a, 2) edge antimagic total labeling and labeling the vertices and edges by taking the difference of arithmetic progression as 2 i.e. d = 2. We divided this paper into two parts. In first part, when the order of the subdivided harary graphs p varies then the distance t will remain the same, while in the other part, when the order p varies then distance t will also vary.
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