Abstract
We introduce a novel vertex degree based topological index, called Kepler Banhatti index. Also we put forward the modified Kepler Banhatti index of a graph. We propose the Kepler Banhatti and modified Kepler Banhatti exponentials of a graph. In this study, we determine the newly defined the Kepler Banhatti indices and their corresponding exponentials for certain dendrimers. Furthermore, we establish some properties of the Kepler Banhatti index.
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