We perform an extensive experimental evaluation of very simple, distributed, randomized algorithms for (Δ + 1) and so-called
Brooks–Vizing vertex colorings, i.e., colorings using considerably
fewer than Δ colors (here Δ denotes the maximum degree
of the graph). We consider variants of algorithms known from the literature, boosting them with a distributed independent
set
computation. Our study clearly determines the relative performance of the algorithms with respect to the number of communication
rounds and the
number of colors. The results are confirmed by all the experiments and instance families. The empirical evidence shows that
some
algorithms use very few rounds and are rather effective, thus being amenable to be used in practice.
Distributed graph algorithms - Vertex coloring - Algorithm engineering