DMTCS Proceedings, 2005 International Conference on Analysis of Algorithms

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DMTCS Conference vol AD (2005), pp. 357-364

DMTCS

2005 International Conference on Analysis of Algorithms

Conrado Martínez (ed.)

DMTCS Conference Volume AD (2005), pp. 357-364


author: László Györfi and Sándor Győri
title: Analysis of tree algorithm for collision resolution
keywords: random access communication, collision resolution time, tree algorithm
abstract: For the tree algorithm introduced by [Cap79] and [TsMi78] let
L
N
denote the expected collision resolution time given the collision multiplicity
N
. If
L(z)
stands for the Poisson transform of
L
N
, then we show that
L
N
- L(N) ≃ 1.29·10
-4
cos
(2 π
log
2
N + 0.698).
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reference: László Györfi and Sándor Győri (2005), Analysis of tree algorithm for collision resolution , in 2005 International Conference on Analysis of Algorithms, Conrado Martínez (ed.), Discrete Mathematics and Theoretical Computer Science Proceedings AD, pp. 357-364
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