Abstract
We obtain the conditional fault-diameter of the square torus interconnection network under the condition of forbidden faulty sets (i.e. assuming that each non-faulty processor has at least one non-faulty neighbor). We show that under this condition, the square torus, whose connectivity is 4, can tolerate up to 5 faulty nodes without becoming disconnected. The conditional node connectivity is, therefore, 6. We also show that the conditional fault-diameter of the square torus is equal to the fault-free diameter plus two. With this result the torus joins a group of interconnection networks (including the hypercube and the star-graph) whose conditional fault-diameter has been shown to be only two units over the fault-free diameter. Two fault-tolerant routing algorithms are discussed based on the proposed vertex disjoint paths construction.
Recommended Citation
Touzene, Abderezak and Day, Khaled
(2005)
Conditional Fault-Diameter of Torus Networks,
Sultan Qaboos University Journal For Science: Vol. 10:
Iss.
1, 51-62.
DOI: https://doi.org/10.24200/squjs.vol10iss0pp51-62
Available at:
https://squjs.squ.edu.om/squjs/vol10/iss1/5