Reconfiguration of binary trees in faulty hypercubes

The authors present a distributed scheme for reconfiguration of embedded binary trees in hypercubes. Their scheme can reconfigure around any 3n/2 faulty nodes in O(n) time, in an n-dimensional hypercube. Their technique, which is based on a key concept called degree of occupancy, can be generalized to any task graph.<<ETX>>

[1]  Tze Chiang Lee.  Quick Recovery of Embedded Structures in Hypercube Computers , 1990, Proceedings of the Fifth Distributed Memory Computing Conference, 1990..

[2]  Angela Y. Wu,et al.  Embedding of tree networks into hypercubes , 1985, J. Parallel Distributed Comput..

[3]  Cauligi S. Raghavendra,et al.  Reconfiguring embedded task graphs in faulty hypercubes by automorphisms , 1990, Twenty-Third Annual Hawaii International Conference on System Sciences.

[4]  Sartaj Sahni,et al.  Optimal BPC Permutations on a Cube Connected SIMD Computer , 1982, IEEE Transactions on Computers.

[5]  S. F. Nugent,et al.  The iPSC/2 direct-connect communications technology , 1988, C3P.

[6]  Prithviraj Banerjee.  Strategies for reconfiguring hypercubes under faults , 1990, [1990] Digest of Papers. Fault-Tolerant Computing: 20th International Symposium.

[7]  Frank Thomson Leighton,et al.  Reconfiguring a hypercube in the presence of faults , 1987, STOC.

[8]  Rami Melhem,et al.  Distributed Fault Tolerant Embedding of Binary Trees and Rings in Hypercubes , 1989 .

[9]  Roy M. Jenevein,et al.  Scaleability of a Binary Tree on a Hypercube , 1986, ICPP.

[10]  Jehoshua Bruck,et al.  Running algorithms efficiently on faulty hypercubes , 1990, SPAA '90.

[11]  Ilse C. F. Ipsen,et al.  How to Embed Trees in Hypercubes. , 1985 .

[12]  John P. Hayes,et al.  An automorphic approach to the design of fault-tolerant multiprocessors , 1989, [1989] The Nineteenth International Symposium on Fault-Tolerant Computing. Digest of Papers.

[13]  Wei-Tek Tsai,et al.  An efficient multi-dimensional grids reconfiguration algorithm on hypercube , 1988, [1988] The Eighteenth International Symposium on Fault-Tolerant Computing. Digest of Papers.

[14]  M. H. Schultz,et al.  Topological properties of hypercubes , 1988, IEEE Trans. Computers.