How to assemble tree machines (Extended Abstract)
STOC '82 Proceedings of the fourteenth annual ACM symposium on Theory of computing
Distributed k-selection: From a sequential to a distributed algorithm
PODC '83 Proceedings of the second annual ACM symposium on Principles of distributed computing
Tradeoffs for selection in distributed networks (Preliminary Version)
PODC '83 Proceedings of the second annual ACM symposium on Principles of distributed computing
The tree machine: a highly concurrent computing environment
The tree machine: a highly concurrent computing environment
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We consider the problem of selecting the kth largest of n inputs, where initially the inputs are stored in the n leaf processors of the 2n - 1 processor tree machine. A probabilistic algorithm is presented that implements a type of pipelining to solve the problem in a simple data driven fashion, with each processor maintaining just a constant amount of state information. On any problem instance, t