Branch-and-bound and backtrack search on mesh-connected arrays of processors
SPAA '92 Proceedings of the fourth annual ACM symposium on Parallel algorithms and architectures
IPDPS '02 Proceedings of the 16th International Parallel and Distributed Processing Symposium
Performance Evaluation - Performance modelling and evaluation of high-performance parallel and distributed systems
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A simple randomized algorithm is presented for maintaining dynamically evolving binary trees on hypercube networks. The algorithm guarantees that: (1) nodes adjacent in the tree are within distance O(log log N) in an N-processor hypercube, and (2) with overwhelming probability, no hypercube processor is assigned more than O(1+M/N) tree nodes, where M is the number of nodes in the tree. The algorithm is distributed and does not require any global information. This is the first load-balancing algorithm with provably good performance. The algorithm can be used to parallelize efficiently any tree-based computation. It can also be used to maintain efficiently dynamic data structures such as quadtrees. A technique called tree surgery is introduced to deal with dependencies inherent in trees. Together with tree surgery, the study of random walks is used to analyze the algorithm.