TY - GEN

T1 - On the complexity of distributed broadcasting and MDS construction in radio networks

AU - Jurdzinski, Tomasz

AU - Kowalski, Dariusz R.

PY - 2012/12/1

Y1 - 2012/12/1

N2 - We study two fundamental problems in the model of undirected radio networks: broadcasting and construction of a Minimal Dominating Set (MDS). The network is ad hoc, in the sense that initially nodes know only their own ID and the IDs of their neighbors. For both problems, we provide deterministic distributed algorithms working in O(D√n log6 n) communication rounds, and complement them by a close lower bound Ω(√Dn log(n/D)) , where n is the number of nodes and D is the radius of the radio network. Our work provides several novel algorithmic methods for overcoming the impact of collisions in radio networks, and shrinks the gap between the lower and the upper bounds for the considered problems from polynomial to polylogarithmic, for networks with small (polylogarithmic) radius.

AB - We study two fundamental problems in the model of undirected radio networks: broadcasting and construction of a Minimal Dominating Set (MDS). The network is ad hoc, in the sense that initially nodes know only their own ID and the IDs of their neighbors. For both problems, we provide deterministic distributed algorithms working in O(D√n log6 n) communication rounds, and complement them by a close lower bound Ω(√Dn log(n/D)) , where n is the number of nodes and D is the radius of the radio network. Our work provides several novel algorithmic methods for overcoming the impact of collisions in radio networks, and shrinks the gap between the lower and the upper bounds for the considered problems from polynomial to polylogarithmic, for networks with small (polylogarithmic) radius.

KW - broadcasting

KW - distributed algorithms

KW - minimal dominating set

KW - radio networks

UR - http://www.scopus.com/inward/record.url?scp=84871669905&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84871669905&partnerID=8YFLogxK

U2 - 10.1007/978-3-642-35476-2_15

DO - 10.1007/978-3-642-35476-2_15

M3 - Conference contribution

AN - SCOPUS:84871669905

SN - 9783642354755

T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

SP - 209

EP - 223

BT - Principles of Distributed Systems - 16th International Conference, OPODIS 2012, Proceedings

T2 - 16th International Conference on Principles of Distributed Systems, OPODIS 2012

Y2 - 18 December 2012 through 20 December 2012

ER -