Computing Certain Topological Indices of the Line Graphs of Subdivision Graphs of Some Rooted Product Graphs

Adnan Aslam, Muhammad Faisal Nadeem, Zohaib Zahid, Sohail Zafar and Wei Gao
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Adnan Aslam: Department of Natural Sciences and Humanities, University of Engineering and Technology, Lahore 54000, Pakistan
Muhammad Faisal Nadeem: Department of Mathematics, COMSAT University Islamabad, Lahore 54000, Pakistan
Zohaib Zahid: University of Management and Technology (UMT), Lahore 54000, Pakistan
Sohail Zafar: University of Management and Technology (UMT), Lahore 54000, Pakistan
Wei Gao: School of Information Science and Technology, Yunnan Normal University, Kunming 650500, China

Mathematics, 2019, vol. 7, issue 5, 1-9

Abstract: In this work, we study the degree-based topological invariants, and the general sum-connectivity, A B C 4 , G A 5 , general Zagreb, G A , generalized Randi?, and A B C indices of the line graphs of some rooted product graphs ( C n { P k } and C n { S m + 1 } ) are determined by menas of the concept of subdivision. Moreover, we also computed all these indices of the line graphs of the subdivision graphs of i -th vertex rooted product graph C i , r { P k + 1 } .

Keywords: topological indices; line graph; subdivision graph (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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