Middleware of real-time object based fault tolerant distributed computing systems: issues and some approaches

Author(s):  
K.H. Kim
2019 ◽  
Vol 53 (3-4) ◽  
pp. 85-113
Author(s):  
Shiying Wang ◽  
Shurong Zhang

The class of k-ary n-cubes represents the most commonly used interconnection topology for parallel and distributed computing systems. In this paper, we consider the faulty k-ary n-cube with even k ≥ 4 and n ≥ 2 such that each vertex of the k-ary n-cube is incident with at least two healthy edges. Based on this requirement, we investigate the fault-tolerant capabilities of the k-ary n-cube with respect to the edge-bipancyclicity. We prove that in the k-ary n-cube Qnk, every healthy edge is contained in fault-free cycles of even lengths from 6 to |V(Qnk)|, even if the Qnk has up to 4n − 5 edge faults and our result is optimal with respect to the number of edge faults tolerated.


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