Deterministic distributed vertex coloring: Simpler, faster, and without network decomposition

M Ghaffari, F Kuhn - 2021 IEEE 62nd Annual Symposium on …, 2022 - ieeexplore.ieee.org
We present a simple deterministic distributed algorithm that computes a (Δ+1)-vertex
coloring in O(log^2Δ.log\n) rounds. The algorithm can be implemented with O(log\n)-bit …

Local distributed rounding: Generalized to mis, matching, set cover, and beyond

S Faour, M Ghaffari, C Grunau, F Kuhn… - Proceedings of the 2023 …, 2023 - SIAM
We develop a general deterministic distributed method for locally rounding fractional
solutions of graph problems for which the analysis can be broken down into analyzing pairs …

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 …

Distributed∆-coloring plays hide-and-seek

A Balliu, S Brandt, F Kuhn, D Olivetti - … of the 54th Annual ACM SIGACT …, 2022 - dl.acm.org
We prove several new tight or near-tight distributed lower bounds for classic symmetry
breaking problems in graphs. As a basic tool, we first provide a new insightful proof that any …

List defective colorings: Distributed algorithms and applications

M Fuchs, F Kuhn - arXiv preprint arXiv:2304.09666, 2023 - arxiv.org
The distributed coloring problem is at the core of the area of distributed graph algorithms
and it is a problem that has seen tremendous progress over the last few years. Much of the …

Distributed graph coloring made easy

Y Maus - ACM Transactions on Parallel Computing, 2023 - dl.acm.org
In this article, we present a deterministic algorithm to compute an O (k Δ)-vertex coloring in O
(Δ/k)+ log* n rounds, where Δ is the maximum degree of the network graph and k≥ 1 can be …

Distributed edge coloring in time polylogarithmic in Δ

A Balliu, S Brandt, F Kuhn, D Olivetti - … of the 2022 ACM Symposium on …, 2022 - dl.acm.org
We provide new deterministic algorithms for the edge coloring problem, which is one of the
classic and highly studied distributed local symmetry breaking problems. As our main result …

Fast distributed Brooks' theorem

M Fischer, MM Halldórsson, Y Maus - Proceedings of the 2023 Annual ACM …, 2023 - SIAM
We give a randomized Δ-coloring algorithm in the LOCAL model that runs in poly log log n
rounds, where n is the number of nodes of the input graph and Δ is its maximum degree …

Improved distributed delta-coloring

M Ghaffari, J Hirvonen, F Kuhn, Y Maus - Proceedings of the 2018 ACM …, 2018 - dl.acm.org
We present a randomized distributed algorithm that computes a Δ-coloring in any non-
complete graph with maximum degree Δ≥ 4 in O (log Δ)+ 2O (√ log log n) rounds, as well …