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 …

An exponential separation between randomized and deterministic complexity in the LOCAL model

YJ Chang, T Kopelowitz, S Pettie - SIAM Journal on Computing, 2019 - SIAM
Over the past 30 years numerous algorithms have been designed for symmetry breaking
problems in the LOCAL model, such as maximal matching, MIS, vertex coloring, and edge …

On derandomizing local distributed algorithms

M Ghaffari, DG Harris, F Kuhn - 2018 IEEE 59th Annual …, 2018 - ieeexplore.ieee.org
The gap between the known randomized and deterministic local distributed algorithms
underlies arguably the most fundamental and central open question in distributed graph …

On the complexity of local distributed graph problems

M Ghaffari, F Kuhn, Y Maus - Proceedings of the 49th Annual ACM …, 2017 - dl.acm.org
This paper is centered on the complexity of graph problems in the well-studied LOCAL
model of distributed computing, introduced by Linial [FOCS'87]. It is widely known that for …

A time hierarchy theorem for the LOCAL model

YJ Chang, S Pettie - SIAM Journal on Computing, 2019 - SIAM
The celebrated time hierarchy theorem for Turing machines states, informally, that more
problems can be solved given more time. The extent to which a time hierarchy--type theorem …

Sublogarithmic distributed algorithms for Lov\'asz local lemma, and the complexity hierarchy

M Fischer, M Ghaffari - arXiv preprint arXiv:1705.04840, 2017 - arxiv.org
Locally Checkable Labeling (LCL) problems include essentially all the classic problems of
$\mathsf {LOCAL} $ distributed algorithms. In a recent enlightening revelation, Chang and …

Locally-Iterative Distributed (Δ+ 1) -Coloring below Szegedy-Vishwanathan Barrier, and Applications to Self-Stabilization and to Restricted-Bandwidth Models

L Barenboim, M Elkin, U Goldenberg - … of the 2018 ACM Symposium on …, 2018 - dl.acm.org
We consider graph coloring and related problems in the distributed message-passing
model.\em Locally-iterative algorithms are especially important in this setting. These are …

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 …

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 …

Deterministic distributed edge-coloring via hypergraph maximal matching

M Fischer, M Ghaffari, F Kuhn - 2017 IEEE 58th Annual …, 2017 - ieeexplore.ieee.org
We present a deterministic distributed algorithm that computes a (2Δ-1)-edge-coloring, or
even list-edge-coloring, in any n-node graph with maximum degree Δ, in O (log 8 Δ· log n) …