Abstract
The atom-bond connectivity and the generalized atom-bond connectivity indices
have shown to be useful in the QSPR/QSAR researches. In particular, the atom-
bond connectivity index has been applied to study the stability of alkanes and the
strain energy of cycloalkanes. In this paper we obtain some bounds on these indices
in terms of graph parameters. To obtain these bounds we use the mathematical
tools from analysis. Some of these bounds for \(ABC_{\alpha}\) improve, when
\(\alpha = 1/2\), known results on the \(ABC\) index.
