Fourth International Conference on Computer Communications and Networks (ICCCN '95)
The maximum dimensional fault-free subcube allocatable in faulty hypercube
Las Vegas, Nevada, USA
September 20-September 23
ISBN: 0-8186-7180-7
H. Masuyama, Inf. & Knowledge Eng., Tottori Univ., Japan
T. Sasama, Inf. & Knowledge Eng., Tottori Univ., Japan
Abstract: The maximum dimensional subcube located in faulty hypercubes is studied in this paper. Most parallel algorithms can be formulated with the dimension n of the hypercube being a parameter of the algorithm. The reconfiguration problem in a hypercube reduces to finding the maximum dimensional fault-free subcube in the hypercube, that is, helps in achieving graceful and the most effective degradation of the system. The paper presents the maximum number of faults on an n-cube on which there always exists at least one fault-free (n-2)-subcube.
Index Terms:
hypercube networks; maximum dimensional fault-free subcube; faulty hypercube; parallel algorithms; reconfiguration problem; degradation; n-cube; fault-free (n-2)-subcube
Citation:
H. Masuyama, T. Sasama, H. Hashimoto, "The maximum dimensional fault-free subcube allocatable in faulty hypercube," icccn, pp.0220, Fourth International Conference on Computer Communications and Networks (ICCCN '95), 1995