On the General Product-connectivity Index of Generalized \textit{xyz}--point-line Transformation Graphs


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Authors

  • B. Basavanagoud Department of Mathematics, Karnatak University, Dharwad, Karnataka, India
  • Chetana S. Gali Department of Mathematics, Karnatak University, Dharwad, Karnataka, India

Keywords:

Subdivision graph, Semitotal-point graph, Semitotal-line graph, General product-connectivity index, Generalized xyz-point-line transformation graphs

Abstract

The general product-connectivity index is a molecular descriptor defined as $R_{\alpha}(G)=\sum\limits_{uv\in E(G)}(d_{G}(u)d_{G}(v))^\alpha$, where $d_{G}(u)$ denotes the degree of vertex $u$ in a graph $G$ and $\alpha$ is a real number. In this paper, we compute the expressions for general product-connectivity index of generalized xyz-point-line transformation graphs.

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Published

15-12-2018

How to Cite

B. Basavanagoud, & Chetana S. Gali. (2018). On the General Product-connectivity Index of Generalized \textit{xyz}--point-line Transformation Graphs. International Journal of Mathematics And Its Applications, 6(4), 117–132. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/334

Issue

Section

Research Article