https://doi.org/10.1140/epjp/s13360-025-07118-x
Regular Article
A Comparative analysis of domination parameters and the physicochemical properties of benzenoid hydrocarbons
Department of Mathematics, Institute of Science, Banaras Hindu University, 221005, Varanasi, Uttar Pradesh, India
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Received:
6
January
2025
Accepted:
25
November
2025
Published online:
16
December
2025
Abstract
In a graph, every vertex is either in the dominating set or a neighbor of one or more vertices of the dominating set. The domination number is the size of the smallest dominating set in the graph. In this work, we determine the values of six crucial domination parameters, including strong domination number, weak domination number, strong efficient domination number, fair domination number, perfect domination number and locating domination number, for a specific class of benzenoid hydrocarbon molecular compounds. Furthermore, we conduct a quantitative structure–property relationship-based comparative study between these domination parameters and twelve standard physicochemical properties of benzenoid hydrocarbons to identify the most robust and best-fitting regression models. This study highlights that the locating domination number exhibits outstanding performance compared to other domination parameters and strongly correlates with most physicochemical properties.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2025
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
