@article{Sardar_Cancan_Ediz_Sajjad_2020, title={Some resistance distance and distance-based graph invariants and number of spanning trees in the tensor product of P2 and Kn}, volume={39}, url={https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/4298}, DOI={10.22199/issn.0717-6279-2020-04-0057}, abstractNote={<p><em>The resistance distance (Kirchhoff index and multiplicative Kirchhoff index) and distance-based (Wiener index and Gutman index) graph invariants of Γ<sub>n</sub> = P<sub>2</sub> ×K<sub>n</sub> are considered. Firstly by using the decomposition theorem, we procure the Laplacian and Normalized Laplacian spectrum for graph Γ<sub>n</sub>, respectively. Based on which, we can procured the formulae for the number of spanning trees and some resistance distance and distance-based graph invariants of graph Γ<sub>n</sub>. Also, it is very interesting to see that when n tends to infinity, Kf (Γ<sub>n</sub>) is a polynomial and W (Γ<sub>n</sub>) is a quadratic polynomial.</em></p>}, number={4}, journal={Proyecciones (Antofagasta, On line)}, author={Sardar, Muhammad Shoaib and Cancan, Murat and Ediz, Süleyman and Sajjad, Wasim}, year={2020}, month={Jul.}, pages={919-932} }