Topological invariants for the line graphs of some classes of graphs

• Main Authors: Zhou Xiaoqing, Habib Mustafa, Zia Tariq Javeed, Naseem Asim, Hanif Anila, Ye Ansheng
• Format: Article
• Language: English
• Published: De Gruyter 2019-12-01
• Series: Open Chemistry
• Subjects: line graph; topological index; m-polynomial
• Online Access: http://www.degruyter.com/view/j/chem.2019.17.issue-1/chem-2019-0154/chem-2019-0154.xml?format=INT

Graph theory plays important roles in the fields of electronic and electrical engineering. For example, it is critical in signal processing, networking, communication theory, and many other important topics. A topological index (TI) is a real number attached to graph networks and correlates the chemical networks with physical and chemical properties, as well as with chemical reactivity. In this paper, our aim is to compute degree-dependent TIs for the line graph of the Wheel and Ladder graphs. To perform these computations, we first computed M-polynomials and then from the M-polynomials we recovered nine degree-dependent TIs for the line graph of the Wheel and Ladder graphs.