Proceedings of the 15th Annual International Conference on Mobile Computing and Networking 2009
DOI: 10.1145/1614320.1614341
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Neighbor discovery in wireless networks and the coupon collector's problem

Abstract: Neighbor discovery is one of the first steps in the initialization of a wireless ad hoc network. In this paper, we design and analyze practical algorithms for neighbor discovery in wireless networks. We first consider an ALOHA-like neighbor discovery algorithm in a synchronous system, proposed in an earlier work. When nodes do not have a collision detection mechanism, we show that this algorithm reduces to the classical Coupon Collector's Problem. Consequently, we show that each node discovers all its n neighb… Show more

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Cited by 150 publications
(197 citation statements)
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“…major work in this category [15], [18], [22], [27], [31]) adopt probabilistic strategies at each node. Specifically, each node remains active or asleep with different probabilities.…”
Section: Related Workmentioning
confidence: 99%
“…major work in this category [15], [18], [22], [27], [31]) adopt probabilistic strategies at each node. Specifically, each node remains active or asleep with different probabilities.…”
Section: Related Workmentioning
confidence: 99%
“…An execution of the system is divided into slots. In each slot, a node u can be in exactly one of the following three modes: (1) transmit mode on some channel in A(u), (2) receive mode on some channel in A(u), or (3) quiet mode when the transceiver is switched off. Hereafter, we use the terms "node" and "cognitive radio node" interchangeably.…”
Section: Problem Statementmentioning
confidence: 99%
“…Existing approaches to the neighbor discovery problem when nodes use omni-directional antennas can be classified into three categories, namely, randomized [2]- [5], deterministic [6]- [9], and multi-user detection-based [10], [11]. Some of these solutions require a priori knowledge of the number of neighbors [3]- [5] and can provide only probabilistic guarantees, while we are focused on designing a deterministic algorithm with 100% discovery guarantee without knowing anything about network size or diameter beforehand.…”
Section: Introductionmentioning
confidence: 99%
“…This question has been addressed over the past years mainly with proposals on fully distributed device discovery schemes [9]. Examples include systems based on Wi-Fi technology such as Wi-Fi direct and Nokia Instant Community (NIC) running on unlicensed without infrastructure support [10,11].…”
Section: Introductionmentioning
confidence: 99%