Title of article :
M−Polynomial of some Graph Operations and Cycle Related Graphs
Author/Authors :
BASAVANAGOUD, BOMMANAHAL Department of Mathematics - Karnatak University, Karnataka, India , BARANGI, ANAND PRAKASH Department of Mathematics - Karnatak University, Karnataka, India , JAKKANNAVAR, PRAVEEN Department of Mathematics - Karnatak University, Karnataka, India
Abstract :
In this paper, we obtain M-polynomial of some graph operations
and cycle related graphs. As an application, we compute Mpolynomial
of some nanostructures viz., TUC4C8[P,q] nanotube,
TUC4C8[P,q] nanotorus, line graph of subdivision graph of
TUC4C8[P,q]TUC4C8[P,q] nanotube and TUC4C8[P,q] nanotorus, Vtetracenic
nanotube and V-tetracenic nanotorus. Further, we
derive some degree based topological indices from the obtained
polynomials.
Keywords :
Wheel graph , Subdivision graph , Line graph , Degree-based topological index , M-polynomial
