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 …

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 …

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 …

An automatic speedup theorem for distributed problems

S Brandt - Proceedings of the 2019 ACM Symposium on …, 2019 - dl.acm.org
Recently, Brandt et al. STOC'16provedalowerboundforthedistributedLov…,whichhasbeenconjecturedtobetightforsuffici…
'17.Attheheartoftheirresultliesaspeeduptechniq…,forgraphsofgirthatleast2t+2,transformsanyt …

Local conflict coloring revisited: Linial for lists

Y Maus, T Tonoyan - arXiv preprint arXiv:2007.15251, 2020 - arxiv.org
Linial's famous color reduction algorithm reduces a given $ m $-coloring of a graph with
maximum degree $\Delta $ to a $ O (\Delta^ 2\log m) $-coloring, in a single round in the …

Classification of distributed binary labeling problems

A Balliu, S Brandt, Y Efron, J Hirvonen, Y Maus… - arXiv preprint arXiv …, 2019 - arxiv.org
We present a complete classification of the deterministic distributed time complexity for a
family of graph problems: binary labeling problems in trees. These are locally checkable …

Local problems on trees from the perspectives of distributed algorithms, finitary factors, and descriptive combinatorics

S Brandt, YJ Chang, J Grebík, C Grunau… - arXiv preprint arXiv …, 2021 - arxiv.org
We study connections between distributed local algorithms, finitary factors of iid processes,
and descriptive combinatorics in the context of regular trees. We extend the Borel …

Distributed local approximation algorithms for maximum matching in graphs and hypergraphs

DG Harris - 2019 IEEE 60th Annual Symposium on …, 2019 - ieeexplore.ieee.org
We describe approximation algorithms in Linial's classic LOCAL model of distributed
computing to find maximum-weight matchings in a hypergraph of rank r. Our main result is a …

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 …

Distributed lower bounds for ruling sets

A Balliu, S Brandt, D Olivetti - SIAM Journal on Computing, 2022 - SIAM
Given a graph G=(V,E), an (α,β)-ruling set is a subset S⊆V such that the distance between
any two vertices in S is at least α, and the distance between any vertex in V and the closest …