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Deterministic Size Discovery and Topology Recognition in Radio Networks with Short Labels by Gańczorz, Adam; Jurdziński, Tomasz; Lewko, Mateusz; Pelc, Andrzej is a scholarly article available to read on EtoBox.

What is Deterministic Size Discovery and Topology Recognition in Radio Networks with Short Labels about?

We consider the fundamental problems of size discovery and topology recognition in radio networks modeled by simple undirected connected graphs. Size discovery calls for all nodes to output the number of nodes in the graph, called its size, and in the task of topology recognition each node has to learn the topology of the graph and its position in it. In radio networks, nodes communicate in synchronous rounds and start in the same round. In each round a node can either transmit the same message to all its neighbors, or stay silent and listen. At the receiving end, a node $v$ hears a message from a neighbor $w$ in a given round, if $v$ listens in this round, and if $w$ is its only neighbor that transmits in this round. If more than one neighbor of a node $v$ transmits in a given round, there is a collision at $v$. We do not assume collision detection: in case of a collision, node $v$ does not hear anything. The time of a deterministic algorithm for each of the above problems is the worst-case number of rounds it takes to solve it. Our goal is to construct short labeling schemes for size discovery and topology recognition in arbitrary radio networks, and to design efficient determini

Author

Gańczorz, Adam; Jurdziński, Tomasz; Lewko, Mateusz; Pelc, Andrzej

Published

2021

Language

EN