Analysis of tree algorithm for collision resolution

Laszlo Gyorfi; Sándor Gyori

doi:10.46298/dmtcs.3376

Laszlo Gyorfi ; Sándor Gyori - Analysis of tree algorithm for collision resolution

dmtcs:3376 - Discrete Mathematics & Theoretical Computer Science, January 1, 2005, DMTCS Proceedings vol. AD, International Conference on Analysis of Algorithms - https://doi.org/10.46298/dmtcs.3376

Analysis of tree algorithm for collision resolutionConference paper

Authors: Laszlo Gyorfi ¹; Sándor Gyori ¹

1 Department of Computer Science and Information Theory

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 $L_N - L(N) ≃ 1.29·10^-4 \cos (2 π \log _2 N + 0.698)$ .

https://doi.org/10.46298/dmtcs.3376

Source: HAL:hal-01184211v1

Volume: DMTCS Proceedings vol. AD, International Conference on Analysis of Algorithms

Section: Proceedings

Published on: January 1, 2005

Imported on: May 10, 2017

Keywords: random access communication,collision resolution time,tree algorithm,[INFO.INFO-DS]Computer Science [cs]/Data Structures and Algorithms [cs.DS],[INFO.INFO-DM]Computer Science [cs]/Discrete Mathematics [cs.DM],[MATH.MATH-CO]Mathematics [math]/Combinatorics [math.CO],[INFO.INFO-CG]Computer Science [cs]/Computational Geometry [cs.CG]

Laszlo Gyorfi ; Sándor Gyori - Analysis of tree algorithm for collision resolution

Bibliographic References

2 Documents citing this article

Share and export

Consultation statistics