Fault-Tolerant Ring Embedding in a Honeycomb Torus with Node Failures

Honeycomb torus networks have been recognised as an attractive alternative to existing torus interconnection networks in parallel and distributed applications. In this paper we establish that there exists a hamiltonian cycle in a honeycomb torus with two adjacent faulty nodes and that with a single fault a ring embedding with one less node than the fault free torus can be found.