TY - GEN
T1 - A simple improved distributed algorithm for minimum CDS in unit disk graphs
AU - Funke, Stefan
AU - Kesselman, Alexander
AU - Meyer, Ulrich
AU - Segal, Michael
PY - 2005/12/1
Y1 - 2005/12/1
N2 - Several routing schemes in ad hoc networks first establish a virtual backbone and then route messages via backbone nodes. One common way of constructing such a backbone is based on the construction of a minimum connected dominating set (CDS). In this paper we present a very simple distributed algorithm for computing a small CDS. Our algorithm has an approximation factor of at most 6.91, improving upon the previous best known approximation factor of 8 due to Wan et al. [INFOCOM'02]. The improvement relies on a refined analysis of the relationship between the size of a maximal independent set and a minimum CDS in a unit disk graph. This subresult also implies improved approximation factors for many existing algorithm.
AB - Several routing schemes in ad hoc networks first establish a virtual backbone and then route messages via backbone nodes. One common way of constructing such a backbone is based on the construction of a minimum connected dominating set (CDS). In this paper we present a very simple distributed algorithm for computing a small CDS. Our algorithm has an approximation factor of at most 6.91, improving upon the previous best known approximation factor of 8 due to Wan et al. [INFOCOM'02]. The improvement relies on a refined analysis of the relationship between the size of a maximal independent set and a minimum CDS in a unit disk graph. This subresult also implies improved approximation factors for many existing algorithm.
UR - http://www.scopus.com/inward/record.url?scp=33746783398&partnerID=8YFLogxK
U2 - 10.1109/WIMOB.2005.1512873
DO - 10.1109/WIMOB.2005.1512873
M3 - Conference contribution
AN - SCOPUS:33746783398
SN - 0780391829
SN - 9780780391826
T3 - 2005 IEEE International Conference on Wireless and Mobile Computing, Networking and Communications, WiMob'2005
SP - 220
EP - 223
BT - 2005 IEEE International Conference on Wireless and Mobile Computing, Networking and Communications, WiMob'2005
T2 - 2005 IEEE International Conference on Wireless and Mobile Computing, Networking and Communications, WiMob'2005
Y2 - 22 August 2005 through 24 August 2005
ER -