Document Type : Original Research Article

Authors

• Farkhanda Afzal ¹
• Mustafa Naeem ²
• Faryal Chaudhry ²
• Deeba Afzal ²

¹ Department of Humanities and Basic Sciences, Military College of Signals, National University of Sciences and Technology, 44000, Islamabad Pakistan

² Department of Mathematics and Statistics, The University of Lahore, 54000, Lahore, Pakistan

Abstract

An m^k-graph of a graph G can be defined by taking m≥2 copies G₁,..., G_m of a graph G in which every vertex u_t of copy G_t is adjacent to a corresponding vertex v_s of copy G_s. An m^k-graph is represented by m^k(G). In this research study, we discussed some degree based topological indices (connectivity indices) of subdivided m^k-graph generated by path graph and comb graph. The closed formulas for computing various degree based topological indices of subdivided m^k-graphs were presented.

Graphical Abstract

Keywords

• Molecular graph
• mk-graph
• path graph
• comb graph
• second zagreb index
• augmented zagreb index

Main Subjects

• Applied Chemistry
• Computational Chemistry