Construction of Fifth Root Biquadrate Mean Cordial Graph and its Code-Based Validation

Abstract

In this work, we introduce a new graph-based method called the fifth-root biquadrate mean cordial technique. A graph that satisfies the conditions of this technique is referred to as a fifth-root biquadrate mean cordial graph. We investigate the applicability of the proposed fifth root biquadrate mean cordial technique to structured graph classes, specifically the cycle graphs 𝐶𝑛, the Corona graph 𝑃𝑚 ⊙ 𝐶𝑛,and the Corona graph 𝐶𝑛 ⊙ 𝐶𝑚,𝑤ℎ𝑒𝑟𝑒 𝑚 > 2 and n is congruent to zero mod 6. Furthermore, the theoretical results are also obtained through computational methods.