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
More details
Hide details
1Department of Mathematics and Statistics, University of Lahore, Lahore, Pakistan
2Department of Chemistry, University of Lahore, Lahore, Pakistan
Submission date: 2017-05-22
Final revision date: 2017-07-14
Acceptance date: 2017-07-18
Online publication date: 2018-02-05
Publication date: 2018-03-12
Pol. J. Environ. Stud. 2018;27(3):993–999
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.