M-polynomial of some graph operations and Cycle related graphs

Document Type: Research Paper

Authors

1 KARNATAK UNIVERSITY DHARWAD

2 Department of Mathematics Karnatak University Dharwad, Karnatak-580003 India.

3 Department of Mathematics Karnatak University Dharwad, Karnataka-580003 India.

10.22052/ijmc.2019.146761.1388

Abstract

In this paper, we obtain M-polynomial of some graph operations and cy-
cle related graphs. As an application, we compute M-polynomial of some nanostruc-
tures viz., TUC4C8[p; q] nanotube, TUC4C8[p; q] nanotorus, line graph of subdivision
graph of TUC4C8[p; q] nanotube and TUC4C8[p; q] nanotorus, V-tetracenic nanotube
and V-tetracenic nanotorus. Further, we derive some degree based topological indices
from the obtained polynomials.

Keywords