Name
Abstract | ||
|---|---|---|
A multi-hop synchronous wirelss network is said to be unknown if the nodes have no knowl- edge of the topology. A basic task in wireless network is that of broadcasting a message (created by a fixed source node) to all nodes of the network. Typical operations in real-life wireless networks is the multi-broadcast that consists in performing a set of r independent broadcasts. The study of broadcast operations on unknown wireless network is started by the seminal paper of Bar-Yehuda et al (BGI87) and has been the subject of several recent works. In this paper, we study the completion and the termination time of distributed protocols for both the (single) broadcast and the multi-broadcast operations on unknown networks as functions of the number of nodes n, the maximum eccentricity D, the maximum in-degree �, and the congestion c of the networks. We establish new connections between these operations and some combinatorial concepts, such as selective families, strongly-selective families (also known as superimposed codes), and pairwise r-different families. Such connections, combined with a set of new lower and upper bounds on the size of the above families, allow us to derive new lower bounds and new distributed protocols for the broadcast and multi-broadcast operations. In particular, our upper bounds are almost tight and improve exponentially over the previous bounds when D andare polylogarithmic in n. Network topologies having "small" eccentricity and "small" degree (such as bounded-degree expanders) are often used in practice to achieve efficient communication. |
Year | Venue | Keywords |
|---|---|---|
2001 | Clinical Orthopaedics and Related Research | network topology,wireless network,upper bound,data structure,discrete mathematics,lower bound |
Field | DocType | Volume |
Broadcasting,Pairwise comparison,Topology,Wireless network,Combinatorics,Computer science,Eccentricity (behavior),Theoretical computer science,Broadcast communication network | Journal | cs.DS/0107 |
Citations | PageRank | References |
1 | 0.36 | 23 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Andrea E. F. Clementi | 1 | 1168 | 85.30 |
| Angelo Monti | 2 | 671 | 46.93 |
| Riccardo Silvestri | 3 | 1324 | 90.84 |