Abstract:The connectivity indices are applied to measure the chemical characteristics of chemical compounds in Chemical Sciences. Recently, a novel degree concept has been defined in Graph Theory: Banhatti degree of a vertex in a graph. In this paper, the product connectivity E-Banhatti and the reciprocal product connectivity E-Banhatti indices are defined by using Banhatti degree concept. We also compute these newly defined EBanhatti indices of wheel graphs and certain nanotubes
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