Bibliographic Details
| Title: |
The cyclic diagnosability of ([formula omitted])-star graphs under the PMC and MM* models. |
| Authors: |
Quanhao, Shangguan1,2 (AUTHOR), Chen, Guo1,2,3 (AUTHOR) bearr@21cn.com, Xiao, Zhifang2,3 (AUTHOR) |
| Source: |
Discrete Applied Mathematics. Jan2026, Vol. 378, p727-739. 13p. |
| Subjects: |
Star graphs (Graph theory), Multiprocessors, Topological property |
| Abstract: |
In order to comprehensively assess the diagnostic capabilities of multiprocessor systems, Zhang et al. introduced the cyclic diagnosis. The cyclic diagnosability of graph G , denoted by c t (G) , identifies the system's diagnosability by imposing additional conditions. These conditions specifically require the survival graph to be disconnected, and at least two of its components containing cycles. In this paper, we explore the topological properties of (n , k)-star graph and as a result, the cyclic diagnosability of S n , k under the PMC and MM* models is determined as n + 3 k − 7 ≤ c t (S n , k) ≤ 2 n + 2 k − 7 , for n > k ≥ 3 , n − k ≥ 4. [ABSTRACT FROM AUTHOR] |
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| Database: |
Engineering Source |
