Parameterized Complexity of Broadcasting in Graphs
Data Structures and Algorithms
2023-06-05 v1 Discrete Mathematics
Abstract
The task of the broadcast problem is, given a graph G and a source vertex s, to compute the minimum number of rounds required to disseminate a piece of information from s to all vertices in the graph. It is assumed that, at each round, an informed vertex can transmit the information to at most one of its neighbors. The broadcast problem is known to NP-hard. We show that the problem is FPT when parametrized by the size k of a feedback edge-set, or by the size k of a vertex-cover, or by k=n-t where t is the input deadline for the broadcast protocol to complete.
Cite
@article{arxiv.2306.01536,
title = {Parameterized Complexity of Broadcasting in Graphs},
author = {Fedor V. Fomin and Pierre Fraigniaud and Petr A. Golovach},
journal= {arXiv preprint arXiv:2306.01536},
year = {2023}
}
Comments
Full version of WG 2023 paper