Fault-tolerant networks based on the de Bruijn graph

The authors introduce a novel class of networks based on the de Bruijn graph. These directed graphs are regular of degree, have N =kⁿ vertices for some n, and can tolerate up to k-2 node faults. Their fault-free diameter is n=log_kN, and this is increases by at most 1 hop in the presence of k-2 faults. This class is very rich: for any given N=kⁿ, one can construct at least 2^N different graphs. This is in sharp contrast to most other such constructions (including the de Bruijn graph), in which only one graph exists for each N. It is also shown how to implement certain algorithms on these networks