Hosoya, Schultz, and Gutman Polynomials of Generalized Petersen Graphs Pn,1 and Pn,2

The graph theory has wide important applications in various other types of sciences. In chemical graph theory, we have many topological polynomials for a graph G through which we can compute many topological indices. Topological indices are numerical values and descriptors which are used to quantify...

Full description

Bibliographic Details
Main Authors: Ramy Shaheen, Suhail Mahfud, Qays Alhawat
Format: Article
Language:English
Published: Hindawi Limited 2023-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2023/7341285
_version_ 1797783618870837248
author Ramy Shaheen
Suhail Mahfud
Qays Alhawat
author_facet Ramy Shaheen
Suhail Mahfud
Qays Alhawat
author_sort Ramy Shaheen
collection DOAJ
description The graph theory has wide important applications in various other types of sciences. In chemical graph theory, we have many topological polynomials for a graph G through which we can compute many topological indices. Topological indices are numerical values and descriptors which are used to quantify the physiochemical properties and bioactivities of the chemical graph. In this paper, we compute Hosoya polynomial, hyper-Wiener index, Tratch–Stankevitch–Zefirov index, Harary index, Schultz polynomial, Gutman polynomial, Schultz index, and Gutman index of generalized Petersen graphs Pn,1 and Pn,2.
first_indexed 2024-03-13T00:28:27Z
format Article
id doaj.art-d4d313a5f8c743bc95ad2c96c5dab9fa
institution Directory Open Access Journal
issn 2314-4785
language English
last_indexed 2024-03-13T00:28:27Z
publishDate 2023-01-01
publisher Hindawi Limited
record_format Article
series Journal of Mathematics
spelling doaj.art-d4d313a5f8c743bc95ad2c96c5dab9fa2023-07-11T00:00:03ZengHindawi LimitedJournal of Mathematics2314-47852023-01-01202310.1155/2023/7341285Hosoya, Schultz, and Gutman Polynomials of Generalized Petersen Graphs Pn,1 and Pn,2Ramy Shaheen0Suhail Mahfud1Qays Alhawat2Department of MathematicsDepartment of MathematicsDepartment of MathematicsThe graph theory has wide important applications in various other types of sciences. In chemical graph theory, we have many topological polynomials for a graph G through which we can compute many topological indices. Topological indices are numerical values and descriptors which are used to quantify the physiochemical properties and bioactivities of the chemical graph. In this paper, we compute Hosoya polynomial, hyper-Wiener index, Tratch–Stankevitch–Zefirov index, Harary index, Schultz polynomial, Gutman polynomial, Schultz index, and Gutman index of generalized Petersen graphs Pn,1 and Pn,2.http://dx.doi.org/10.1155/2023/7341285
spellingShingle Ramy Shaheen
Suhail Mahfud
Qays Alhawat
Hosoya, Schultz, and Gutman Polynomials of Generalized Petersen Graphs Pn,1 and Pn,2
Journal of Mathematics
title Hosoya, Schultz, and Gutman Polynomials of Generalized Petersen Graphs Pn,1 and Pn,2
title_full Hosoya, Schultz, and Gutman Polynomials of Generalized Petersen Graphs Pn,1 and Pn,2
title_fullStr Hosoya, Schultz, and Gutman Polynomials of Generalized Petersen Graphs Pn,1 and Pn,2
title_full_unstemmed Hosoya, Schultz, and Gutman Polynomials of Generalized Petersen Graphs Pn,1 and Pn,2
title_short Hosoya, Schultz, and Gutman Polynomials of Generalized Petersen Graphs Pn,1 and Pn,2
title_sort hosoya schultz and gutman polynomials of generalized petersen graphs pn 1 and pn 2
url http://dx.doi.org/10.1155/2023/7341285
work_keys_str_mv AT ramyshaheen hosoyaschultzandgutmanpolynomialsofgeneralizedpetersengraphspn1andpn2
AT suhailmahfud hosoyaschultzandgutmanpolynomialsofgeneralizedpetersengraphspn1andpn2
AT qaysalhawat hosoyaschultzandgutmanpolynomialsofgeneralizedpetersengraphspn1andpn2