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We consider the problem of gathering identical, memoryless, mobile robots in one node of an anonymous unoriented ring. Robots start from different nodes of the ring. They operate in Look-Compute-Move cycles and have to end up in the same node. In one cycle, a robot takes a snapshot of the current configuration (Look), makes a decision to stay idle or to… (More)

- Juraj Hromkovi, Ralf Klasing, Burkhard Monien, Regine Peine
- 1996

PREFACE Considerable attention in recent theoretical computer science is devoted to parallel computing. Here, we would like to present a special part of this large topic, namely, the part devoted to an abstract study of the dissemination of information in interconnection networks. The importance of this research area lies in the fact that the ability of a… (More)

— In this paper, we address the problem of gathering information in a central node of a radio network, where interference constraints are present. We take into account the fact that, when a node transmits, it produces interference in an area bigger than the area in which its message can actually be received. The network is modeled by a graph; a node is able… (More)

In this paper we define and study a call scheduling problem that is motivated by radio networks. In such networks the physical space is a common resource that nodes have to share, since concurrent transmissions cannot be interfering. We study how one can satisfy steady bandwidth demands according to this constraint. This leads to the definition of a call… (More)

In this paper we present new results on the performance of the Minimum Spanning Tree heuristic for the <i>Minimum-Energy Broadcast Routing</i> (MEBR) problem. We first prove that, for any number of dimensions <i>d</i> ≥ 2, the approximation ratio of the heuristic does not increase when the power attenuation coefficient α, that is the exponent to… (More)

In this paper we present a new heuristic called Adaptive Broadcast Consumption (ABC for short) for the Minimum-Energy Broadcast Routing (MEBR) problem. We first investigate the problem trying to understand which are the main properties not taken into account by the classic and well–studied MST and BIP heuristics, then we propose a new algorithm proving that… (More)

We consider a fixed, undirected, known network and a number of " mobile agents " which can traverse the network in synchronized steps. Some nodes in the network may be faulty and the agents are to find the faults and repair them. The agents could be software agents, if the underlying network represents a computer network, or robots, if the underlying… (More)