Radio coloring

Radio coloring is a concept from discrete mathematics and graph theory. It is a way of assigning colors to the vertices of a graph such that certain distance constraints are met. Specifically, in radio coloring, each vertex \( v \) in a graph is assigned a color, which is usually represented as a non-negative integer. The key aspect of radio coloring is that the difference between the colors assigned to two vertices must be at least the distance between those vertices.