Diagnosability of optical multi-mesh hypercube networks under the comparison diagnosis model

Diagnosability of a multiprocessor system is one important study topic in the parallel processing area. As a family of promising optical interconnection topologies for massively parallel computers, the optical multi-mesh hypercube OMMH networks integrate positive features of both hypercube and mesh topologies and circumvent the lack of scalability of hypercubes and the large diameter of meshes. This paper studies an l, m, n-OMMH network and, proves that its diagnosability under the comparison diagnosis model is n+4 for l≥5, m≥5, n≥3.