Consider an n-vertex graph G = (V, E) of maximum degree ∆, and suppose that each vertex v ∈ V hosts a processor. The processors are allowed to communicate only with their neig...
This thesis introduces a model of a random walk on a colored undirected graph. Such a graph has a single vertex set and distinct sets of edges, each of which has a color. A par...
Abstract. The distance-2 graph coloring problem aims at partitioning the vertex set of a graph into the fewest sets consisting of vertices pairwise at distance greater than two fro...
We study deterministic, distributed algorithms for two weak variants of the standard graph coloring problem. We consider defective colorings, i.e., colorings where nodes of a colo...