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Greedy Search on the Binary Tree with Random Edge-Weights

Published online by Cambridge University Press:  12 September 2008

David Aldous
David Aldous
Affiliation:
Department of Statistics, University of California, Berkeley CA 94720
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Abstract

There is a simple greedy algorithm for seeking large values of a function f defined on the vertices of the binary tree. Modeling f as a random function whose increments along edges are i.i.d., we show that (under a natural assumption) the values found by the greedy algorithm grow linearly in time, with rate specified in terms of a fixed-point identity for distributions.

Type
Research Article
Information
Combinatorics, Probability and Computing , Volume 1 , Issue 4 , December 1992 , pp. 281 - 293
Copyright
Copyright © Cambridge University Press 1992

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