Brooks' theorem in graph streams: a single-pass semi-streaming algorithm for∆-coloring

S Assadi, P Kumar, P Mittal - Proceedings of the 54th Annual ACM …, 2022 - dl.acm.org
Every graph with maximum degree Δ can be colored with (Δ+ 1) colors using a simple
greedy algorithm. Remarkably, recent work has shown that one can find such a coloring …

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 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 …

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 …

The landscape of distributed complexities on trees and beyond

C Grunau, V Rozhoň, S Brandt - … of the 2022 ACM Symposium on …, 2022 - dl.acm.org
We study the local complexity landscape of locally checkable labeling (LCL) problems on
constant-degree graphs with a focus on complexities below log* n. Our contribution is …

Optimal deterministic massively parallel connectivity on forests

A Balliu, R Latypov, Y Maus, D Olivetti, J Uitto - … of the 2023 Annual ACM-SIAM …, 2023 - SIAM
We show fast deterministic algorithms for fundamental problems on forests in the
challenging low-space regime of the well-known Massive Parallel Computation (MPC) …

Node and edge averaged complexities of local graph problems

A Balliu, M Ghaffari, F Kuhn, D Olivetti - … of the 2022 ACM Symposium on …, 2022 - dl.acm.org
We continue the recently started line of work on the distributed node-averaged complexity of
distributed graph algorithms. The node-averaged complexity of a distributed algorithm …

Distributed maximal matching and maximal independent set on hypergraphs

A Balliu, S Brandt, F Kuhn, D Olivetti - Proceedings of the 2023 Annual ACM …, 2023 - SIAM
We investigate the distributed complexity of maximal matching and maximal independent set
(MIS) in hypergraphs in the LOCAL model. A maximal matching of a hypergraph H=(VH, EH) …