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Some Resistance Distance and Distance-Based Graph Invariants and Number of Spanning Trees in the Tensor Product of Pz and Kn

dc.authorscopusid 57194872670
dc.authorscopusid 35185892900
dc.authorscopusid 36991921100
dc.authorscopusid 57225435348
dc.contributor.author Sardar, M.S.
dc.contributor.author Cancan, M.
dc.contributor.author Ediz, S.
dc.contributor.author Sajjad, W.
dc.date.accessioned 2025-05-10T17:02:06Z
dc.date.available 2025-05-10T17:02:06Z
dc.date.issued 2020
dc.department T.C. Van Yüzüncü Yıl Üniversitesi en_US
dc.department-temp Sardar M.S., Anhui University, School of Mathematical Sciences, Hefei, Anhui, China; Cancan M., Van Yuzuncu Yil University, Faculty of Education, Van, Turkey; Ediz S., Van Yuzuncu Yil University, Faculty of Education, Van, Turkey; Sajjad W., Anhui University, School of Mathematical Sciences, Hefei, Anhui, China en_US
dc.description.abstract The resistance distance (Kirchhoff index and multiplicative Kirchhoff index) and distance-based (Wiener index and Gutman index) graph invariants of Γn = p2 x Kn are considered. Firstly by using the decomposition theorem, we procure the Laplacian and Normalized Laplacian spectrum for graph r n, respectively. Based on which, we can procured the formulae for the number of spanning trees and some resistance distance and distancebased graph invariants of graph Γn. Also, it is very interesting to see that when n tends to infinity, Kf (Γn) is a polynomial and W (Γn) is a quadratic polynomial. © 2020 Muhammad Shoaib Sardar, Murat Cancan, SUleyman Ediz and Wasim Sajjad. en_US
dc.identifier.doi 10.22199/issn.0717-6279-2020-04-0057
dc.identifier.endpage 932 en_US
dc.identifier.issn 0716-0917
dc.identifier.issue 4 en_US
dc.identifier.scopus 2-s2.0-85091070245
dc.identifier.scopusquality Q3
dc.identifier.startpage 919 en_US
dc.identifier.uri https://doi.org/10.22199/issn.0717-6279-2020-04-0057
dc.identifier.uri https://hdl.handle.net/20.500.14720/5407
dc.identifier.volume 39 en_US
dc.identifier.wosquality N/A
dc.language.iso en en_US
dc.publisher Universidad Catolica del Norte en_US
dc.relation.ispartof Proyecciones en_US
dc.relation.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
dc.rights info:eu-repo/semantics/openAccess en_US
dc.subject Degree-Kirchhoff Index en_US
dc.subject Kirchhoff Index en_US
dc.subject Normalized Laplacian en_US
dc.subject Spanning Tree en_US
dc.title Some Resistance Distance and Distance-Based Graph Invariants and Number of Spanning Trees in the Tensor Product of Pz and Kn en_US
dc.type Article en_US

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