  In this paper we compute the Reduced Fox Coloring Group of the diagrams of
Wheel Graphs which can also be represented at the closure of the braids
$(\sigma_1 \sigma_2^{-1})^n$. In doing so, we utilize Fibonacci numbers and
their properties.
  Following this, we generalize our result to compute the Alexander-Burau-Fox
Module over the ring $\mathbb{Z}[t^{\pm 1}]$ for the same class of links. In
our computation, Chebyshev polynomials function as a generalization of
Fibonacci Numbers.
