Neighbour sum distinguishing edge-weightings with local constraints

Antoine Dailly, ElÅ1/4bieta Sidorowicz

A $k$-edge-weighting of $G$ is a mapping $\omega :E(G)⟶\{1,\dots ,k\}$. The edge-weighting of $G$ naturally induces a vertex-colouring ${\sigma }_{\omega }:V(G)⟶\mathbb{N}$…