Local approximation schemes for topology control.

This paper presents a distributed algorithm on wireless adhoc networks that runs in polylogarithmic number of rounds in the size of the network and constructs a linear size, lightweight, (1 + ε)-spanner for any given ε> 0. A wireless network is modeled by a d-dimensional α-quasi unit ball graph (α-UBG), which is a higher dimensional generalization of the standard unit disk graph (UDG) model. The d-dimensional α-UBG model goes beyond the unrealistic “flat world ” assumption of UDGs and also takes into account transmission errors, fading signal strength, and physical obstructions. The main result in the paper is this: for any fixed ε> 0, 0 < α ≤ 1, and d ≥ 2 there is a distributed algorithm running in O(log n·log ∗ n) communication rounds on an n-node, d-dimensional α-UBG G that computes a (1+ε)-spanner G ′ of G with maximum degree ∆(G ′ ) = O(1) and total weight w(G ′ ) = O(w(MST (G)). This result is motivated by the topology control problem in wireless ad-hoc networks and improves on existing topology control algorithms along several dimensions. The technical contributions of the paper include a new, sequential, greedy algorithm with relaxed edge ordering and lazy updating, and clustering techniques for filtering out unnecessary edges.

Main Author: Damian, Mirela.
Other Authors: Pandit, Saurav., Pemmaraju, Sriram.
Language: English
Published: 2006
Online Access: http://ezproxy.villanova.edu/login?url=https://digital.library.villanova.edu/Item/vudl:175686