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Keywords = eccentric distance sum polynomial

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13 pages, 288 KiB  
Article
The Eccentric-Distance Sum Polynomials of Graphs by Using Graph Products
by Alaa Altassan, Muhammad Imran and Shehnaz Akhter
Mathematics 2022, 10(16), 2834; https://doi.org/10.3390/math10162834 - 9 Aug 2022
Cited by 1 | Viewed by 3581
Abstract
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 [...] Read more.
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. Full article
(This article belongs to the Special Issue Graph Theory and Applications)
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