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 …
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
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 …
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 …
more efficient than previous ones. In particular, it allows us to tackle the (deg+ 1)-list-coloring …
Efficient randomized distributed coloring in CONGEST
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 …
studied problems in the area of distributed graph algorithms. We present a new randomized …
Distributed∆-coloring plays hide-and-seek
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 …
breaking problems in graphs. As a basic tool, we first provide a new insightful proof that any …
List defective colorings: Distributed algorithms and applications
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 …
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 …
(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
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 …
classic and highly studied distributed local symmetry breaking problems. As our main result …
Fast distributed Brooks' theorem
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 …
rounds, where n is the number of nodes of the input graph and Δ is its maximum degree …
Improved distributed delta-coloring
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 …
complete graph with maximum degree Δ≥ 4 in O (log Δ)+ 2O (√ log log n) rounds, as well …