在比较模型下网络是n-邻d-可诊断的充分条件(英文)

作者:王世英*; 赵丽娜
来源:数学季刊, 2022, 37(04): 343-354.
DOI:10.13371/j.cnki.chin.q.j.m.2022.04.002

摘要

Diagnosability of multiprocessor systems is an important research topic. The system and an interconnection network have an underlying topology, which is usually presented by a graph. In 2012, Peng et al. proposed a metric for fault diagnosis of the graph, namely, the n-neighbor diagnosability that restrains every fault-free node to contain at least n fault-free neighbors. It is difficult to get the n-neighbor diagnosability of the graph from the definition of the n-neighbor diagnosability. Afterwards, some sufficient and necessary conditions are given. It is also difficult to find the n-neighbor diagnosability of the graph from those results. In this paper, we show some new sufficient conditions for the graph to be n-neighbor d-diagnosable under the MM*model. It improves the corresponding result of [Theoretical Computer Science 773(2019) 107-114].

全文