Coefficients of Randic and Sombor characteristic polynomials of some graph types

Let GG be a graph. The energy of is defined as the summation absolute values eigenvalues adjacency matrix GG. It possible to study several types graph originating from defining various matrices by correspondingly different invariants. first step computing characteristic polynomial for obtaining corresponding In this paper, formulae coefficients polynomials both Randic and Sombor path PnPn , cycle CnCn are presented. Moreover, we obtain five special type 3−regular RnRn.