A note on Goldberg's conjecture on total chromatic numbers
A note on Goldberg's conjecture on total chromatic numbers
Abstract Let be a multigraph with maximum degree , chromatic index , and total chromatic number . The total coloring conjecture proposed by Behzad and Vizing, independently, states that for a multigraph , where is the multiplicity of . Moreover, Goldberg conjectured that if and noticed the conjecture holds when …