Every link in ℝ3 can be represented by a one-vertex ribbon graph. We prove a Markov type theorem on this subset of link diagrams. Journal Information This monthly journal, begun in 1950, is devoted ...

Abstract The adjacent vertex-distinguishing total chromatic number of a graph 𝐺, denoted by χ𝑎𝑡 (𝐺), is the smallest denoted by 𝑘 for which 𝐺 has a proper total 𝑘-coloring such that any two ...