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 -