The n-dimensional twisted cube, denoted by TQ_n, a variation of the hypercube, possesses some properties superior to the hypercube. In this paper, assuming that each vertex is incident with at least two fault-free links, we show that TQ_n can tolerate up to 2n - 5 edge faults, while retaining a fault-free Hamiltonian cycle. The result is optimal with respect to the number of edge faults tolerated.
Citation:
Jung-Sheng Fu, "Conditional Fault-Tolerant Hamiltonicity of Twisted Cubes," pdcat, pp.5-10, Seventh International Conference on Parallel and Distributed Computing, Applications and Technologies (PDCAT'06), 2006