The g-Good-Neighbor conditional diagnosability of arrangement graphs

Limei Lin, Li Xu, Dajin Wang, Shuming Zhou

Research output: Contribution to journalArticlepeer-review

39 Scopus citations


A network's diagnosability is the maximum number of faulty vertices the network can discriminate solely by performing mutual tests among the vertices. It is an important measure of a network's robustness. The original diagnosability without any condition is often rather low because it is bounded by the network's minimum degree. Several conditional diagnosability have been proposed in the past to increase the allowed faulty vertices, and hence enhancing the diagnosability of the network. The g-good-neighbor conditional diagnosability is the maximum number of faulty vertices a network can guarantee to identify, under the condition that every fault-free vertex has at least g fault-free neighbors (i.e., good neighbors). In this paper, we establish the g-good-neighbor conditional diagnosability for the (n,k)-arrangement graph network A{n,k}. We will show that, under both the PMC model and the comparison model, the A{n,k} 's g-good-neighbor conditional diagnosability is [(g+1)k-g](n-k) , which can be several times higher than the A{n,k} 's original diagnosability.

Original languageEnglish
Pages (from-to)542-548
Number of pages7
JournalIEEE Transactions on Dependable and Secure Computing
Issue number3
StatePublished - 1 May 2018


  • -good-neighbor conditional diagnosability
  • Arrangement graph networks
  • PMC model
  • comparison model
  • system-level diagnosis

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