• P. Jansi Rathina Kumari
• Dr. R. Ganapathy Raman

The M-Polynomial[3] of a graph G is defined as 𝑀(𝐺; 𝑥,𝑦) = ∑ 𝑚𝑖𝑗(𝐺) 𝑖≤𝑗 𝑥𝑖𝑦𝑗 where 𝑚𝑖𝑗,𝑖,𝑗 ≥ 1, is the number of edges 𝑢𝑣 of G such that {𝑑𝐺(𝑢),𝑑𝐺(𝑣)} = {𝑖,𝑗}. Topological indices, especially degree-based topological indices, which can be determined with an algebraic approach known as the M-polynomial, are utilized to determine the physiochemical characteristics of chemical graphs. For some wheel-related graphs we found M-polynomials, and thereby we have established various degree-based topological indices for those graphs.

M-Polynomials, Wheel graphs, topological indices

"M-Polynomials and Degree based topological indices of Wheel Related graphs", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.13, Issue 9, page no.b402-b414, September-2026, Available :http://www.jetir.org/papers/JETIR2609146.pdf

"M-Polynomials and Degree based topological indices of Wheel Related graphs", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.13, Issue 9, page no. ppb402-b414, September-2026, Available at : http://www.jetir.org/papers/JETIR2609146.pdf