On the Uniqueness of Chromatic polynomial of Generalized wheel Graph

Abstract:

      In this paper it is proved that the generalized wheel graph θ_n,k is chromatically unique if k≥0 and n≥4 is even.Meainwhile, it is also proved that for a graph Gif and only if G P_λ(G)=λ…(λ-q 1)(λ-q)^n-q is a q-tree on n vertices.