# Labeling Schemes for Deterministic Radio Multi-Broadcast

@inproceedings{Krisko2021LabelingSF, title={Labeling Schemes for Deterministic Radio Multi-Broadcast}, author={Colin Krisko and Avery Miller}, booktitle={WG}, year={2021} }

We consider the multi-broadcast problem in arbitrary connected radio networks consisting of n nodes. There are k designated source nodes for some fixed k ∈ {1, . . . , n}, and each source node has a distinct piece of information that it wants to share with all nodes in the network. When k = 1, this is known as the broadcasting problem, and when k = n, this is known as the gossiping problem. We consider the feasibility of solving multi-broadcast deterministically in radio networks. It is known…

## One Citation

### Deterministic Size Discovery and Topology Recognition in Radio Networks with Short Labels

- Computer ScienceSPAA
- 2021

It turns out that the optimal length of labeling schemes for both problems depends on the maximum degree Δ of the graph, and it is proved that topology recognition in the class of arbitrary radio networks requires labeling schemes of length Ω(logΔ).

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This paper shows that storing only a small constant number of additional bits, it is possible to broadcast significantly faster when the source eccentricity of the network is o(n), and defines a class of broadcast algorithms that includes both these algorithms and proves that any algorithm in this class requires Ω(√nD) rounds.

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