6 papers
Classification of Local Optimization Problems in Directed Cycles
Thomas Boudier, Fabian Kuhn, Augusto Modanese +2
We present a complete classification of the distributed computational complexity of local optimization problems in directed cycles for both the deterministic and the randomized LOC…
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 Computation with Local Advice
Alkida Balliu, Sebastian Brandt, Fabian Kuhn +4
In this work we study local computation with advice: the goal is to solve a graph problem with a distributed algorithm in communication rounds, for some function t…
Towards Fully Automatic Distributed Lower Bounds
Alkida Balliu, Sebastian Brandt, Fabian Kuhn +2
In the past few years, a successful line of research has lead to lower bounds for several fundamental local graph problems in the distributed setting. These results were obtained v…
Shared Randomness Helps with Local Distributed Problems
Alkida Balliu, Mohsen Ghaffari, Fabian Kuhn +5
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 loca…
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…