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Ninth International Conference on Parallel and Distributed Systems (ICPADS'02)
Hamiltonian laceability on edge fault star graph
Taiwan, ROC
December 17-December 20
ISBN: 0-7695-1760-9
Tseng-Kuei Li, Ching Yun Institute of Technology
Jimmy J. M. Tan, National Chiao Tung University
Lih-Hsing Hsu, National Chiao Tung University
The star graph is an attractive alternative to the hypercube graph. It possess many nice topological properties. Edge fault tolerance is an important issue for a network since the edges in the network may fail sometimes. In this paper, we show that the n-dimensional star graph is (n -3)-edge fault tolerant hamiltonian laceable, (n -3)-edge fault tolerant strongly hamiltonian laceable, and (n -4)-edge fault tolerant hyper hamiltonian laceable. All these results are optimal in a sense described in this paper.
Index Terms:
star graph, hamiltonian laceable, strongly hamiltonian laceable, hyper hamiltonian laceable, fault tolerant.
Citation:
Tseng-Kuei Li, Jimmy J. M. Tan, Lih-Hsing Hsu, "Hamiltonian laceability on edge fault star graph," icpads, pp.23, Ninth International Conference on Parallel and Distributed Systems (ICPADS'02), 2002
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