Near-optimal distributed degree+ 1 coloring

MM Halldórsson, F Kuhn, A Nolin… - Proceedings of the 54th …, 2022 - dl.acm.org
We present a new approach to randomized distributed graph coloring that is simpler and
more efficient than previous ones. In particular, it allows us to tackle the (deg+ 1)-list-coloring …

Efficient randomized distributed coloring in CONGEST

MM Halldórsson, F Kuhn, Y Maus… - Proceedings of the 53rd …, 2021 - dl.acm.org
Distributed vertex coloring is one of the classic problems and probably also the most widely
studied problems in the area of distributed graph algorithms. We present a new randomized …

Overcoming congestion in distributed coloring

MM Halldórsson, A Nolin, T Tonoyan - … of the 2022 ACM Symposium on …, 2022 - dl.acm.org
We present a new technique to efficiently sample and communicate a large number of
elements from a distributed sampling space. When used in the context of a recent Local …

Distributed symmetry breaking on power graphs via sparsification

Y Maus, S Peltonen, J Uitto - Proceedings of the 2023 ACM Symposium …, 2023 - dl.acm.org
In this paper we present efficient distributed algorithms for classical symmetry breaking
problems, maximal independent sets (MIS) and ruling sets, in power graphs. We work in the …

Adjacency sketches in adversarial environments

M Naor, E Pekel - Proceedings of the 2024 Annual ACM-SIAM …, 2024 - SIAM
An adjacency sketching or implicit labeling scheme for a family F of graphs is a method that
defines for any n vertex G∈ F an assignment of labels to each vertex in G, so that the labels …

Efficient CONGEST algorithms for the Lovász local lemma

Y Maus, J Uitto - arxiv preprint arxiv:2108.02638, 2021 - arxiv.org
We present a poly $\log\log n $ time randomized CONGEST algorithm for a natural class of
Lovasz Local Lemma (LLL) instances on constant degree graphs. This implies, among other …

Superfast coloring in CONGEST via efficient color sampling

MM Halldórsson, A Nolin - Theoretical Computer Science, 2023 - Elsevier
We present a procedure for efficiently sampling colors in the CONGEST model. It allows
nodes whose number of colors exceeds their number of neighbors by a constant fraction to …

Fast coloring despite congested relays

M Flin, MM Halldórsson, A Nolin - arxiv preprint arxiv:2308.01359, 2023 - arxiv.org
We provide a $ O (\log^ 6\log n) $-round randomized algorithm for distance-2 coloring in
CONGEST with $\Delta^ 2+ 1$ colors. For $\Delta\gg\operatorname {poly}\log n $, this …

Decentralized distributed graph coloring II: degree+ 1-coloring virtual graphs

M Flin, MM Halldórsson, A Nolin - arxiv preprint arxiv:2408.11041, 2024 - arxiv.org
Graph coloring is fundamental to distributed computing. We give the first general treatment
of the coloring of virtual graphs, where the graph $ H $ to be colored is locally embedded …

Decentralized Distributed Graph Coloring: Cluster Graphs

M Flin, MM Halldorsson, A Nolin - arxiv preprint arxiv:2405.07725, 2024 - arxiv.org
Graph coloring is fundamental to distributed computing. We give an ultrafast distributed
algorithm for coloring cluster graphs. These graphs are obtained from the underlying …