5 papers · 1 filter
LCLs Beyond Bounded Degrees
Gustav Schmid
The study of Locally Checkable Labelings (LCLs) has led to a remarkably precise characterization of the distributed time complexities that can occur on bounded-degree trees. A cent…
The Distributed Complexity Landscape on Trees Depends on the Knowledge About the Network Size
Alkida Balliu, Sebastian Brandt, Fabian Kuhn +3
One of the central models in distributed computing is Linial's LOCAL model [SIAM J. Comp. 1992]. Over time, researchers have studied distributed graph problems in the LOCAL model u…
Distributed Algorithms for Potential Problems
Alkida Balliu, Thomas Boudier, Francesco d'Amore +4
In this work, we present a fast distributed algorithm for local potential problems: these are graph problems where the task is to find a locally optimal solution where no node can…
Distributed Quantum Advantage in Locally Checkable Labeling Problems
Alkida Balliu, Filippo Casagrande, Francesco d'Amore +6
In this paper, we present the first known example of a locally checkable labeling problem (LCL) that admits asymptotic distributed quantum advantage in the LOCAL model of distribut…
Completing the Node-Averaged Complexity Landscape of LCLs on Trees
Alkida Balliu, Sebastian Brandt, Fabian Kuhn +2
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 line of res…