Fault-tolerant ring embedding in star graphs

Yu-Chee Tseng*, Shu Hui Chang, Jang Ping Sheu

*Corresponding author for this work

Research output: Contribution to journalConference articlepeer-review

7 Scopus citations

Abstract

In this paper, we consider an injured star graph with some faulty links and nodes. We show that even with f e ≤ n - 3 faulty links a Hamiltonian cycle still can be found in an n-star, and that with f v ≤ n - 3 faulty nodes a ring containing at most 4f v nodes less than that in a Hamiltonian cycle can be found (i.e., containing at least n! - 4f v nodes). In general, in an n-star with f e faulty links and f v faulty nodes, where f e + f v ≤ n - 3, our embedding is able to establish a ring containing at least n! - 4f v nodes.

Original languageEnglish
Pages (from-to)660-665
Number of pages6
JournalIEEE Symposium on Parallel and Distributed Processing - Proceedings
DOIs
StatePublished - 1 Jan 1996
EventProceedings of the 1996 10th International Parallel Processing Symposium - Honolulu, HI, USA
Duration: 15 Apr 199619 Apr 1996

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