Seventh International Conference on Parallel and Distributed Computing, Applications and Technologies (PDCAT'06)
Conditional Fault-Tolerant Hamiltonicity of Star Graphs
Taipei, Taiwan
December 04-December 07
ISBN: 0-7695-2736-1
The star graph possesses many nice topological properties. In this study, we show that for any n dimensional star graph (n \geqslant 4) with 2n \leqslant - 7 edge faults in which each node is incident to at least two non-faulty edges, there exists a fault-free Hamiltonian cycle. Compare with the corresponding study in hypercube, our method is rather succinct.
Citation:
Jung-Sheng Fu, "Conditional Fault-Tolerant Hamiltonicity of Star Graphs," pdcat, pp.11-16, Seventh International Conference on Parallel and Distributed Computing, Applications and Technologies (PDCAT'06), 2006