### Abstract

This paper presents a new fault-tolerant routing algorithm for the binary n-cube which overcomes the limitations of the recently-proposed safety vectors algorithm (IEEE Trans. Parallel Distribut. Syst. 9 (4) (1998) 321). The algorithm is based on the concept of "unsafety vectors". Each node A starts by computing a first level unsafety set, S_{1}
^{A}, composed of the set of unreachable neighbours. It then performs (m - 1) exchanges with its neighbours to determine the k-level unsafety set, S_{k}
^{A}, for all 1 ≤ k ≤ m, where m is an adjustable parameter between 1 and n. S_{k}
^{A} represents the set of all nodes at Hamming distance k from node A which are faulty or unreachable from A due to faulty nodes (or links). Equipped with these unsafety sets, each node calculates unsafety vectors, which are then used to achieve an efficient fault-tolerant routing in the binary n-cube. The kth element of the unsafety vector of node A represents a measure of the routing unsafety at distance k from A. We present an analytical study proving some properties of the proposed algorithm. We also conduct a comparative analysis through extensive simulation experiments that reveal the superiority of the proposed algorithm over the safety vectors algorithm (IEEE Trans. Parallel Distribut. Syst. 9 (4) (1998) 321) in terms of different performance measures, e.g. routing distances and percentage of reachability.

Original language | English |
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Pages (from-to) | 783-793 |

Number of pages | 11 |

Journal | Journal of Systems Architecture |

Volume | 47 |

Issue number | 9 |

DOIs | |

Publication status | Published - Mar 2002 |

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### Keywords

- Fault-tolerant routing
- Hypercube
- Interconnection networks
- Multicomputers
- Performance evaluation
- Safety vectors

### ASJC Scopus subject areas

- Hardware and Architecture
- Software