A note on valency dependance invariants of \(L(G(k))\) graph

M. A. Razzaq1, H. Iqbal2, K. Ali1, S. T. R. Rizvi1
1Department of Mathematics, COMSATS University Islamabad, Lahore Campus, Pakistan
2Department of Mathematics, The University of Lahore, Lahore Campus, Lahore 54500, Pakistan

Abstract

Let \(L(G(k))\) be a line graph of a \(k\)-subdivided graph \(G(k)\) of any connected, simple and undirected graph \(G\). In this paper, we fixed the valency dependence invariants of \(L(G(k))\) for \(k\geq2.\) Our results are the generalization of the results proved in [1,3,8].

Keywords: valency based invariants, line graph, k-subdivided graph