On Analysis of Topological Aspects for Subdivision of Kragujevac Tree Networks

In this paper, we have taken review of certain topological topological characteristics of subdivision and the line graph of subdivision of Kragujevac tree. A Kragujevac tree is denoted by K, K∈Kgq=r2t+1+1,r, with order r2t+1+1 and size r2t+1, respectively. We have computed the Zagreb polynomials, fo...

Descripción completa

Guardado en:

Detalles Bibliográficos
Autores principales:	Salma Kanwal, Shanshan Shang, Muhammad Kamran Siddiqui, Tahira Sumbal Shaikh, Ammara Afzal, Anton Asare-Tuah
Formato:	article
Lenguaje:	EN
Publicado:	Hindawi Limited 2021
Materias:	Engineering (General). Civil engineering (General) TA1-2040 Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/4de53de268794ba48634de09674fa4c2
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

id	oai:doaj.org-article:4de53de268794ba48634de09674fa4c2
record_format	dspace
spelling	oai:doaj.org-article:4de53de268794ba48634de09674fa4c22021-11-15T01:20:14ZOn Analysis of Topological Aspects for Subdivision of Kragujevac Tree Networks1563-514710.1155/2021/9082320https://doaj.org/article/4de53de268794ba48634de09674fa4c22021-01-01T00:00:00Zhttp://dx.doi.org/10.1155/2021/9082320https://doaj.org/toc/1563-5147In this paper, we have taken review of certain topological topological characteristics of subdivision and the line graph of subdivision of Kragujevac tree. A Kragujevac tree is denoted by K, K∈Kgq=r2t+1+1,r, with order r2t+1+1 and size r2t+1, respectively. We have computed the Zagreb polynomials, forgotten polynomial, and M-polynomial for Kragujevac tree. Moreover, we have computed topological indices like Zagreb-type indices, reduced reciprocal Randić indices, family of Gourava indices as well as forgotten index. Further, some topological indices that can be directly derived from M-polynomial, i.e., first and second Zagreb index, modified second Zagreb index, Randić and reciprocal Randić index, symmetric division and harmonic index, and inverse sum and augmented Zagreb index are also computed.Salma KanwalShanshan ShangMuhammad Kamran SiddiquiTahira Sumbal ShaikhAmmara AfzalAnton Asare-TuahHindawi LimitedarticleEngineering (General). Civil engineering (General)TA1-2040MathematicsQA1-939ENMathematical Problems in Engineering, Vol 2021 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Engineering (General). Civil engineering (General) TA1-2040 Mathematics QA1-939
spellingShingle	Engineering (General). Civil engineering (General) TA1-2040 Mathematics QA1-939 Salma Kanwal Shanshan Shang Muhammad Kamran Siddiqui Tahira Sumbal Shaikh Ammara Afzal Anton Asare-Tuah On Analysis of Topological Aspects for Subdivision of Kragujevac Tree Networks
description	In this paper, we have taken review of certain topological topological characteristics of subdivision and the line graph of subdivision of Kragujevac tree. A Kragujevac tree is denoted by K, K∈Kgq=r2t+1+1,r, with order r2t+1+1 and size r2t+1, respectively. We have computed the Zagreb polynomials, forgotten polynomial, and M-polynomial for Kragujevac tree. Moreover, we have computed topological indices like Zagreb-type indices, reduced reciprocal Randić indices, family of Gourava indices as well as forgotten index. Further, some topological indices that can be directly derived from M-polynomial, i.e., first and second Zagreb index, modified second Zagreb index, Randić and reciprocal Randić index, symmetric division and harmonic index, and inverse sum and augmented Zagreb index are also computed.
format	article
author	Salma Kanwal Shanshan Shang Muhammad Kamran Siddiqui Tahira Sumbal Shaikh Ammara Afzal Anton Asare-Tuah
author_facet	Salma Kanwal Shanshan Shang Muhammad Kamran Siddiqui Tahira Sumbal Shaikh Ammara Afzal Anton Asare-Tuah
author_sort	Salma Kanwal
title	On Analysis of Topological Aspects for Subdivision of Kragujevac Tree Networks
title_short	On Analysis of Topological Aspects for Subdivision of Kragujevac Tree Networks
title_full	On Analysis of Topological Aspects for Subdivision of Kragujevac Tree Networks
title_fullStr	On Analysis of Topological Aspects for Subdivision of Kragujevac Tree Networks
title_full_unstemmed	On Analysis of Topological Aspects for Subdivision of Kragujevac Tree Networks
title_sort	on analysis of topological aspects for subdivision of kragujevac tree networks
publisher	Hindawi Limited
publishDate	2021
url	https://doaj.org/article/4de53de268794ba48634de09674fa4c2
work_keys_str_mv	AT salmakanwal onanalysisoftopologicalaspectsforsubdivisionofkragujevactreenetworks AT shanshanshang onanalysisoftopologicalaspectsforsubdivisionofkragujevactreenetworks AT muhammadkamransiddiqui onanalysisoftopologicalaspectsforsubdivisionofkragujevactreenetworks AT tahirasumbalshaikh onanalysisoftopologicalaspectsforsubdivisionofkragujevactreenetworks AT ammaraafzal onanalysisoftopologicalaspectsforsubdivisionofkragujevactreenetworks AT antonasaretuah onanalysisoftopologicalaspectsforsubdivisionofkragujevactreenetworks
_version_	1718428864125861888

On Analysis of Topological Aspects for Subdivision of Kragujevac Tree Networks

Ejemplares similares