A Complete Solution to the Chromatic Equivalence Class of Graph B_(n-8,1,4)

Two graphs are defined to be adjointly equivalent if and only if their complements are chromatically equivalent.Using the properties of the adjoint polynomials and the fourth character R_4(G),the adjoint equivalence class of graph B_(n-8,1,4) is determined.According to the relations between adjoint polynomial and chromatic polynomial,we also simultaneously determine the chromatic equivalence class of B_(n-8,1,4) that is the complement of B_(n-8,1,4).