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
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