| dc.creator | Sardar, Muhammad Shoaib | |
| dc.creator | Cancan, Murat | |
| dc.creator | Ediz, Süleyman | |
| dc.creator | Sajjad, Wasim | |
| dc.date | 2020-07-28 | |
| dc.date.accessioned | 2020-07-29T16:38:00Z | |
| dc.date.available | 2020-07-29T16:38:00Z | |
| dc.identifier | https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/4298 | |
| dc.identifier | 10.22199/issn.0717-6279-2020-04-0057 | |
| dc.identifier.uri | https://revistaschilenas.uchile.cl/handle/2250/147145 | |
| dc.description | The resistance distance (Kirchhoff index and multiplicative Kirchhoff index) and distance-based (Wiener index and Gutman index) graph invariants of ?n = P2 ×Kn are considered. Firstly by using the decomposition theorem, we procure the Laplacian and Normalized Laplacian spectrum for graph ?n, 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 ?n. Also, it is very interesting to see that when n tends to infinity, Kf (?n) is a polynomial and W (?n) is a quadratic polynomial. | en-US |
| dc.format | application/pdf | |
| dc.language | eng | |
| dc.publisher | Universidad Católica del Norte. | en-US |
| dc.relation | https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/4298/3477 | |
| dc.rights | Copyright (c) 2020 Muhammad Shoaib Sardar, Murat Cancan, Süleyman Ediz, Wasim Sajjad | en-US |
| dc.rights | http://creativecommons.org/licenses/by/4.0 | en-US |
| dc.source | Proyecciones (Antofagasta, On line); Vol. 39 No. 4 (2020): Special Issue: Mathematical Computation in Combinatorics and Graph Theory; 919-932 | en-US |
| dc.source | Proyecciones. Revista de Matemática; Vol. 39 Núm. 4 (2020): Special Issue: Mathematical Computation in Combinatorics and Graph Theory; 919-932 | es-ES |
| dc.source | 0717-6279 | |
| dc.source | 10.22199/issn.0717-6279-2020-04 | |
| dc.subject | Kirchhoff index | en-US |
| dc.subject | Degree-Kirchhoff index | en-US |
| dc.subject | Normalized Laplacian | en-US |
| dc.subject | Spanning tree | en-US |
| dc.subject | Graphical indices (Wiener index, Zagreb index, Randić index, etc.) | en-US |
| dc.subject | 05C09 | en-US |
| dc.title | Some resistance distance and distance-based graph invariants and number of spanning trees in the tensor product of P2 and Kn | en-US |
| dc.type | info:eu-repo/semantics/article | |
| dc.type | info:eu-repo/semantics/publishedVersion | |
| dc.type | Peer-reviewed Article | en-US |
| dc.type | text | en-US |
