A lower bound for radio broadcast
Journal of Computer and System Sciences
Journal of Computer and System Sciences
An $\Omega(D\log (N/D))$ Lower Bound for Broadcast in Radio Networks
SIAM Journal on Computing
Selective families, superimposed codes, and broadcasting on unknown radio networks
SODA '01 Proceedings of the twelfth annual ACM-SIAM symposium on Discrete algorithms
Centralized broadcast in multihop radio networks
Journal of Algorithms
Fast broadcasting and gossiping in radio networks
FOCS '00 Proceedings of the 41st Annual Symposium on Foundations of Computer Science
Broadcasting Algorithms in Radio Networks with Unknown Topology
FOCS '03 Proceedings of the 44th Annual IEEE Symposium on Foundations of Computer Science
Time of Deterministic Broadcasting in Radio Networks with Local Knowledge
SIAM Journal on Computing
Improved schedule for radio broadcast
SODA '05 Proceedings of the sixteenth annual ACM-SIAM symposium on Discrete algorithms
Faster communication in known topology radio networks
Proceedings of the twenty-fourth annual ACM symposium on Principles of distributed computing
Maximal independent sets in radio networks
Proceedings of the twenty-fourth annual ACM symposium on Principles of distributed computing
Coloring unstructured radio networks
Proceedings of the seventeenth annual ACM symposium on Parallelism in algorithms and architectures
Broadcasting in undirected ad hoc radio networks
Distributed Computing - Special issue: PODC 02
Broadcasting in geometric radio networks
Journal of Discrete Algorithms
Broadcasting in udg radio networks with unknown topology
Proceedings of the twenty-sixth annual ACM symposium on Principles of distributed computing
Optimal deterministic broadcasting in known topology radio networks
Distributed Computing
Efficient Broadcasting in Known Geometric Radio Networks with Non-uniform Ranges
DISC '08 Proceedings of the 22nd international symposium on Distributed Computing
Impact of Information on the Complexity of Asynchronous Radio Broadcasting
OPODIS '08 Proceedings of the 12th International Conference on Principles of Distributed Systems
Communication algorithms with advice
Journal of Computer and System Sciences
Tell me where i am so i can meet you sooner: asynchronous rendezvous with location information
ICALP'10 Proceedings of the 37th international colloquium conference on Automata, languages and programming: Part II
Almost optimal asynchronous rendezvous in infinite multidimensional grids
DISC'10 Proceedings of the 24th international conference on Distributed computing
Interference-aware broadcast scheduling in wireless networks
Ad Hoc Networks
Synchronous rendezvous for location-aware agents
DISC'11 Proceedings of the 25th international conference on Distributed computing
Distributed deterministic broadcasting in wireless networks of weak devices
ICALP'13 Proceedings of the 40th international conference on Automata, Languages, and Programming - Volume Part II
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The paper studies broadcasting in radio networks whose stations are represented by points in the Euclidean plane. In any given time step, a station can either receive or transmit. A message transmitted from station (v) is delivered to every station (u) at distance at most (1) from (v), but (u) successfully hears the message if and only if (v) is the only station at distance at most (1) from (u) that transmitted in this time step. A designated source station has a message that should be disseminated throughout the network. All stations other than the source are initially idle and wake up upon the first time they hear the source message. It is shown in [11] that the time complexity of broadcasting depends on two parameters of the network, namely, its diameter (in hops) (D) and a lower bound (d) on the Euclidean distance between any two stations. The inverse of (d) is called the granularity of the network, denoted by (g). Specifically, the authors of [11] present a broadcasting algorithm that works in time (O (D g)) and prove that every broadcasting algorithm requires Ω (D √g) time. In this paper, we distinguish between the arbitrary deployment setting, originally studied in [11], in which stations can be placed everywhere in the plane, and the new grid deployment setting, in which stations are only allowed to be placed on a (d)-spaced grid. Does the latter (more restricted) setting provides any speedup in broadcasting time complexity? Although the (O (D g)) broadcasting algorithm of [11] works under the (original) arbitrary deployment setting, it turns out that the Ω (D √g) lower bound remains valid under the grid deployment setting. Still, the above question is left unanswered. The current paper answers this question affirmatively by presenting a provable separation between the two deployment settings. We establish a tight lower bound on the time complexity of broadcasting under the arbitrary deployment setting proving that broadcasting cannot be completed in less than Ω ( D √g) time. For the grid deployment setting, we develop a broadcasting algorithm that runs in time O ( D g5 / 6 log g), thus breaking the linear dependency on (g).