Proper colorings of a graph in linear time using a number of colors linear in the maximum degree of the graph
A new algorithm for exactly sampling from the set of proper colorings of a graph is presented. This is the first such algorithm that has an expected running time that is guaranteed to be linear in the size of a graph with maximum degree \( Δ\) when the number of colors is greater than \( 3.637 Δ+ 1\).
math.PR↗