Edge coloring despite transient and permanent faults

Abstract

We consider the problem of edge coloring in the presence of transient and permanent faults: we must achieve a stable edge coloring despite any initial state, and despite an unbounded number of Byzantine nodes. In this paper, we consider that no local variable is allowed: we only use the colors of the edges. We give a general algorithm to achieve edge coloring at distance 2 of Byzantine failures. Then, we give a Byzantine insensitive algorithm for edge coloring on a ring (we achieve a stable coloring on the correct subgraph).