English

Constant round distributed domination on graph classes with bounded expansion

Data Structures and Algorithms 2021-06-29 v3 Distributed, Parallel, and Cluster Computing Discrete Mathematics

Abstract

We show that the dominating set problem admits a constant factor approximation in a constant number of rounds in the LOCAL model of distributed computing on graph classes with bounded expansion. This generalizes a result of Czygrinow et al. for graphs with excluded topological minors.

Keywords

Cite

@article{arxiv.2012.02701,
  title  = {Constant round distributed domination on graph classes with bounded expansion},
  author = {Simeon Kublenz and Sebastian Siebertz and Alexandre Vigny},
  journal= {arXiv preprint arXiv:2012.02701},
  year   = {2021}
}

Comments

Paper accepted at SIROCCO 2021, implemented reviews, corrected an error in Lemma 1

R2 v1 2026-06-23T20:44:17.354Z