TCS Journal 2025 Journal Article
Cyclic diagnosability of folded hypercubes under the PMC model and MM* model
- Linxiao Wang
- Liang Chen
- Kaineng Guan
- Yanze Huang
- Limei Lin
Cyclic diagnosability ensures reliable fault detection while maintaining loop-based connectivity, which is vital for fault-tolerant systems like data centers. Unlike traditional methods, it guarantees fault identification even if the surviving network splits into at least two cyclic components, improving resilience in connectivity-critical scenarios. With the growing need for reliable interconnection networks in large-scale multiprocessor systems, this paper explores the cyclic diagnosability of n -dimensional folded hypercubes F Q n under the PMC and MM* models. Leveraging the structural advantages of F Q n, such as its complementary edges and enhanced connectivity, we develop a systematic method to determine its cyclic diagnosability. Our analysis shows that for n ≥ 10, the cyclic diagnosability c t ( F Q n ) reaches 5 n − 5, a significant improvement over the 5 n − 10 limit of classical hypercubes. This result highlights the superior fault tolerance of folded hypercubes in maintaining loop-based connectivity during fault diagnosis.