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Online locality meets distributed quantum computing
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 …
classical LOCAL model of distributed computing: A. distributed quantum computing and non …
Shared Randomness Helps with Local Distributed Problems
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 …
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 …
computing. Since 2016, there has been a substantial body of work examining the possible …
Distributed graph problems through an automata-theoretic lens
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 …
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
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 …
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
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 …
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
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 …
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
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 …
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 …
of theoretical computer science and discrete mathematics. We collect recent results in the …
Deterministic Distributed algorithms and Descriptive Combinatorics on\Delta-regular trees
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 …
distributed local algorithms and descriptive combinatorics. We show that, surprisingly, some …