Fault-tolerant ring embedding in a star graph with both link and node failures | IEEE Journals & Magazine | IEEE Xplore

Fault-tolerant ring embedding in a star graph with both link and node failures


Abstract:

The star graph interconnection network has been recognized as an attractive alternative to the hypercube network. Previously, the star graph has been shown to contain a H...Show More

Abstract:

The star graph interconnection network has been recognized as an attractive alternative to the hypercube network. Previously, the star graph has been shown to contain a Hamiltonian cycle. In this paper, we consider an injured star graph with some faulty links and nodes. We show that even with f/sub e//spl les/n-3 faulty links, a Hamiltonian cycle still can be found in an n-star, and that with f/sub v//spl les/n-3 faulty nodes, a ring containing at most 4f/sub v/ nodes less than that in a Hamiltonian cycle can be found (i.e. the ring contains at least n!-4f/sub v/ nodes). In general, in an n-star with f/sub e/ faulty links and f/sub v/ faulty nodes, where f/sub e/+f/sub v//spl les/n-3, our embedding is able to establish a ring containing at least n!-4f/sub v/ nodes.
Published in: IEEE Transactions on Parallel and Distributed Systems ( Volume: 8, Issue: 12, December 1997)
Page(s): 1185 - 1195
Date of Publication: 31 December 1997

ISSN Information:


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