Online locality meets distributed quantum computing

A Akbari, X Coiteux-Roy, F d'Amore, FL Gall… - arxiv preprint arxiv …, 2024 - arxiv.org
We connect three distinct lines of research that have recently explored extensions of the
classical LOCAL model of distributed computing: A. distributed quantum computing and non …

Shared Randomness Helps with Local Distributed Problems

A Balliu, M Ghaffari, F Kuhn, A Modanese… - arxiv preprint arxiv …, 2024 - arxiv.org
By prior work, we have many results related to distributed graph algorithms for problems that
can be defined with local constraints; the formal framework used in prior work is locally …

The Distributed Complexity of Locally Checkable Labeling Problems Beyond Paths and Trees

YJ Chang - arxiv preprint arxiv:2311.06726, 2023 - arxiv.org
We consider locally checkable labeling LCL problems in the LOCAL model of distributed
computing. Since 2016, there has been a substantial body of work examining the possible …

Distributed graph problems through an automata-theoretic lens

YJ Chang, J Studený, J Suomela - International Colloquium on Structural …, 2021 - Springer
The locality of a graph problem is the smallest distance T such that each node can choose
its own part of the solution based on its radius-T neighborhood. In many settings, a graph …

Completing the node-averaged complexity landscape of lcls on trees

A Balliu, S Brandt, F Kuhn, D Olivetti… - Proceedings of the 43rd …, 2024 - dl.acm.org
The node-averaged complexity of a problem captures the number of rounds nodes of a
graph have to spend on average to solve the problem in the LOCAL model. A challenging …

[HTML][HTML] Distributed graph problems through an automata-theoretic lens

YJ Chang, J Studený, J Suomela - Theoretical Computer Science, 2023 - Elsevier
The locality of a graph problem is the smallest distance T such that each node can choose
its own part of the solution based on its radius-T neighborhood. In many settings, a graph …

[PDF][PDF] Local problems in trees across a wide range of distributed models

A Dhar, E Kujawa, H Lievonen, A Modanese… - arxiv preprint arxiv …, 2024 - arxiv.org
The randomized online-LOCAL model captures a number of models of computing; it is at
least as strong as all of these models:-the classical LOCAL model of distributed graph …

On the node-averaged complexity of locally checkable problems on trees

A Balliu, S Brandt, F Kuhn, D Olivetti… - arxiv preprint arxiv …, 2023 - arxiv.org
Over the past decade, a long line of research has investigated the distributed complexity
landscape of locally checkable labeling (LCL) problems on bounded-degree graphs …

Invitation to Local Algorithms

VĂ RozhoĹ - arxiv preprint arxiv:2406.19430, 2024 - arxiv.org
This text provides an introduction to distributed local algorithms--an area at the intersection
of theoretical computer science and discrete mathematics. We collect recent results in the …

Deterministic Distributed algorithms and Descriptive Combinatorics on\Delta-regular trees

S Brandt, YJ Chang, J Grebík, C Grunau… - arxiv preprint arxiv …, 2022 - arxiv.org
We study complexity classes of local problems on regular trees from the perspective of
distributed local algorithms and descriptive combinatorics. We show that, surprisingly, some …