TY - JOUR

T1 - The Eccentric-Distance Sum Polynomials of Graphs by Using Graph Products

AU - Altassan, Alaa

AU - Imran, Muhammad

AU - Akhter, Shehnaz

N1 - Funding Information:
This research work was funded by Institutional Fund Projects under grant no. (IFPDP-151-22). Therefore, the authors gratefully acknowledge technical and financial support from the Ministry of Education and Deanship of Scientific Research (DSR), King Abdulaziz University (KAU), Jeddah, Saudi Arabia.
Publisher Copyright:
© 2022 by the authors.

PY - 2022/8

Y1 - 2022/8

N2 - The correlations between the physico-chemical properties of a chemical structure and its molecular structure-properties are used in quantitative structure-activity and property relationship studies (QSAR/QSPR) by using graph-theoretical analysis and techniques. It is well known that some structure-activity and quantitative structure-property studies, using eccentric distance sum, are better than the corresponding values obtained by using the Wiener index. In this article, we give precise expressions for the eccentric distance sum polynomial of some graph products such as join, Cartesian, lexicographic, corona and generalized hierarchical products. We implement our outcomes to calculate this polynomial for some significant families of molecular graphs in the form of the above graph products.

AB - The correlations between the physico-chemical properties of a chemical structure and its molecular structure-properties are used in quantitative structure-activity and property relationship studies (QSAR/QSPR) by using graph-theoretical analysis and techniques. It is well known that some structure-activity and quantitative structure-property studies, using eccentric distance sum, are better than the corresponding values obtained by using the Wiener index. In this article, we give precise expressions for the eccentric distance sum polynomial of some graph products such as join, Cartesian, lexicographic, corona and generalized hierarchical products. We implement our outcomes to calculate this polynomial for some significant families of molecular graphs in the form of the above graph products.

KW - distance

KW - eccentric distance sum polynomial

KW - eccentricity

KW - graph operations

UR - http://www.scopus.com/inward/record.url?scp=85137408830&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85137408830&partnerID=8YFLogxK

U2 - 10.3390/math10162834

DO - 10.3390/math10162834

M3 - Article

AN - SCOPUS:85137408830

SN - 2227-7390

VL - 10

JO - Mathematics

JF - Mathematics

IS - 16

M1 - 2834

ER -