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In this paper we compute the Reduced Fox Coloring Group of the diagrams ofWheel 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 andtheir properties.  Following this, we generalize our result to compute the Alexander-Burau-FoxModule over the ring $\mathbb{Z}[t^{\pm 1}]$ for the same class of links. Inour computation, Chebyshev polynomials function as a generalization ofFibonacci Numbers.

Using Fibonacci Numbers and Chebyshev Polynomials to Express Fox Coloring Groups and Alexander-Burau-Fox Modules of Diagrams of Wheel Graphs