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… 
1 Citations

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

TLDR
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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