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A Local Diagnosis Algorithm for Hypercube-like Networks under the BGM Diagnosis Model

Discrete Mathematics 2023-06-22 v3

Abstract

System diagnosis is process of identifying faulty nodes in a system. An efficient diagnosis is crucial for a multiprocessor system. The BGM diagnosis model is a modification of the PMC diagnosis model, which is a test-based diagnosis. In this paper, we present a specific structure and propose an algorithm for diagnosing a node in a system under the BGM model. We also give a polynomial-time algorithm that a node in a hypercube-like network can be diagnosed correctly in three test rounds under the BGM diagnosis model.

Keywords

Cite

@article{arxiv.2107.05455,
  title  = {A Local Diagnosis Algorithm for Hypercube-like Networks under the BGM Diagnosis Model},
  author = {Cheng-Kuan Lin and Tzu-Liang Kung and Chun-Nan Hung and Yuan-Hsiang Teng},
  journal= {arXiv preprint arXiv:2107.05455},
  year   = {2023}
}
R2 v1 2026-06-24T04:06:27.778Z