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Applications of k-Local MST for Topology Control and Broadcasting in Wireless Ad Hoc Networks
December 2004 (vol. 15 no. 12)
pp. 1057-1069
ASCII Text
x 
 
Xiang-Yang Li, Yu Wang, Wen-Zhan Song, "Applications of k-Local MST for Topology Control and Broadcasting in Wireless Ad Hoc Networks," IEEE Transactions on Parallel and Distributed Systems, vol. 15, no. 12, pp. 1057-1069, December, 2004.
 
 
BibTex
x
 
@article{ 10.1109/TPDS.2004.77,
author = {Xiang-Yang Li and Yu Wang and Wen-Zhan Song},
title = {Applications of k-Local MST for Topology Control and Broadcasting in Wireless Ad Hoc Networks},
journal ={IEEE Transactions on Parallel and Distributed Systems},
volume = {15},
number = {12},
issn = {1045-9219},
year = {2004},
pages = {1057-1069},
doi = {http://doi.ieeecomputersociety.org/10.1109/TPDS.2004.77},
publisher = {IEEE Computer Society},
address = {Los Alamitos, CA, USA},
}
 
 
RefWorks Procite/RefMan/Endnote
x 
 
TY - JOUR
JO - IEEE Transactions on Parallel and Distributed Systems
TI - Applications of k-Local MST for Topology Control and Broadcasting in Wireless Ad Hoc Networks
IS - 12
SN - 1045-9219
SP1057
EP1069
EPD - 1057-1069
A1 - Xiang-Yang Li,
A1 - Yu Wang,
A1 - Wen-Zhan Song,
PY - 2004
KW - Localized algorithms
KW - broadcasting
KW - topology control
KW - minimum spanning tree
KW - wireless ad hoc networks.
VL - 15
JA - IEEE Transactions on Parallel and Distributed Systems
ER -
 
Yu Wang, IEEE

Abstract—In this paper, we propose a family of structures, namely, k{\hbox{-}}{\rm{localized}} minimum spanning tree ({\rm{LMST}}_k) for topology control and broadcasting in wireless ad hoc networks. We give an efficient localized method to construct {\rm{LMST}}_k using only O(n) messages under the local-broadcast communication model, i.e., the signal sent by each node will be received by all nodes within the node's transmission range. We also analytically prove that the node degree of the structure {\rm{LMST}}_k is at most 6, {\rm{LMST}}_k is connected and planar and, more importantly, the total edge length of the {\rm{LMST}}_k is within a constant factor of that of the minimum spanning tree when k \ge 2 (called low weighted hereafter). We then propose another low weighted structure, called Incident MST and RNG Graph (IMRG), that can be locally constructed using at most 13n messages under the local broadcast communication model. Test results are corroborated in the simulation study. We study the performance of our structures in terms of the total power consumption for broadcasting, the maximum node power needed to maintain the network connectivity. We theoretically prove that our structures are asymptotically the best possible for broadcasting among all locally constructed structures. Our simulations show that our new structures outperform previous locally constructed structures in terms of broadcasting and power assignment for connectivity.

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Index Terms:
Localized algorithms, broadcasting, topology control, minimum spanning tree, wireless ad hoc networks.
Citation:
Xiang-Yang Li, Yu Wang, Wen-Zhan Song, "Applications of k-Local MST for Topology Control and Broadcasting in Wireless Ad Hoc Networks," IEEE Transactions on Parallel and Distributed Systems, vol. 15, no. 12, pp. 1057-1069, Dec. 2004, doi:10.1109/TPDS.2004.77
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