  The basic objective of the current research paper is to investigate the
structure and the algebraic varieties of Hom-associative dialgebras. We
elaborate a classification of $n$-dimensional Hom-associative dialgebras for
$n\leq4$. Additionally, using the classification result of Hom-associative
dialgebras, we characterize the $\alpha$-derivations and centroids of
low-dimensional Hom-associative dialgebras. Furthermore, we equally tackle
certain features of derivations and centroids in the light of associative
dialgebras and compute the centroids of low-dimensional associative dialgebras.
