Polylogarithmic-time deterministic network decomposition and distributed derandomization
V Rozhoň, M Ghaffari - Proceedings of the 52nd Annual ACM SIGACT …, 2020 - dl.acm.org
We present a simple polylogarithmic-time deterministic distributed algorithm for network
decomposition. This improves on a celebrated 2 O (√ log n)-time algorithm of Panconesi …
decomposition. This improves on a celebrated 2 O (√ log n)-time algorithm of Panconesi …
Sublinear algorithms for (Δ+ 1) vertex coloring
Any graph with maximum degree Δ admits a proper vertex coloring with Δ+ 1 colors that can
be found via a simple sequential greedy algorithm in linear time and space. But can one find …
be found via a simple sequential greedy algorithm in linear time and space. But can one find …
On derandomizing local distributed algorithms
The gap between the known randomized and deterministic local distributed algorithms
underlies arguably the most fundamental and central open question in distributed graph …
underlies arguably the most fundamental and central open question in distributed graph …
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 …
Faster deterministic distributed MIS and approximate matching
M Ghaffari, C Grunau - Proceedings of the 55th Annual ACM Symposium …, 2023 - dl.acm.org
We present an Õ (log2 n) round deterministic distributed algorithm for the maximal
independent set problem. By known reductions, this round complexity extends also to …
independent set problem. By known reductions, this round complexity extends also to …
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 …
The power of multi-step vizing chains
ABG Christiansen - Proceedings of the 55th Annual ACM Symposium on …, 2023 - dl.acm.org
Recent papers have addressed different variants of the (Δ+ 1)-edge-colouring problem by
concatenating or gluing together many Vizing chains to form what Bernshteyn coined multi …
concatenating or gluing together many Vizing chains to form what Bernshteyn coined multi …
Dynamic algorithms for graph coloring
We design fast dynamic algorithms for proper vertex and edge colorings in a graph
undergoing edge insertions and deletions. In the static setting, there are simple linear time …
undergoing edge insertions and deletions. In the static setting, there are simple linear time …
An optimal distributed (δ+ 1)-coloring algorithm?
Vertex coloring is one of the classic symmetry breaking problems studied in distributed
computing. In this paper we present a new algorithm for (Δ+ 1)-list coloring in the …
computing. In this paper we present a new algorithm for (Δ+ 1)-list coloring in the …
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 …