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Sensor Network Gossiping or How to Break the Broadcast Lower Bound

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Book cover Algorithms and Computation (ISAAC 2007)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4835))

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Abstract

Gossiping is an important problem in Radio Networks that has been well studied, leading to many important results. Due to strong resouce limitations of sensor nodes, previous solutions are frequently not feasible in Sensor Networks. In this paper, we study the gossiping problem in the restrictive context of Sensor Networks. By exploiting the geometry of sensor node distributions, we present reduced, optimal running time of O(D + Δ) for an algorithm that completes gossiping with high probability in a Sensor Network of unknown topology and adversarial wake-up, where D is the diameter and Δ the maximum degree of the network. Given that an algorithm for gossiping also solves the broadcast problem, our result proves that the classic lower bound of [16] can be broken if nodes are allowed to do preprocessing.

This research was supported in part by NSF grants CCF0621425, CCF 05414009, CCF 0632838, and DIMACS, Center for Discrete Mathematics & Theoretical Computer Science, grant numbered NSF CCR 00-87022.

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Takeshi Tokuyama

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Farach-Colton, M., Mosteiro, M.A. (2007). Sensor Network Gossiping or How to Break the Broadcast Lower Bound . In: Tokuyama, T. (eds) Algorithms and Computation. ISAAC 2007. Lecture Notes in Computer Science, vol 4835. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-77120-3_22

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  • DOI: https://doi.org/10.1007/978-3-540-77120-3_22

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-77118-0

  • Online ISBN: 978-3-540-77120-3

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