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Outputs (329)

Optimal (degree+1)-Coloring in Congested Clique (2023)
Presentation / Conference Contribution
Coy, S., Czumaj, A., Davies, P., & Mishra, G. (2023). Optimal (degree+1)-Coloring in Congested Clique. In K. Etessami, U. Feige, & G. Puppis (Eds.), 50th International Colloquium on Automata, Languages, and Programming (ICALP 2023) (99:1-99:20). https://doi.org/10.4230/LIPIcs.ICALP.2023.46

We consider the distributed complexity of the (degree+1)-list coloring problem, in which each node u of degree d(u) is assigned a palette of d(u) + 1 colors, and the goal is to find a proper coloring using these color palettes. The (degree+1)-list co... Read More about Optimal (degree+1)-Coloring in Congested Clique.

Distributed MIS in O(log log n) Awake Complexity (2023)
Presentation / Conference Contribution
Dufoulon, F., Moses Jr., W. K., & Pandurangan, G. (2023). Distributed MIS in O(log log n) Awake Complexity. In A. Nolin (Ed.), . https://doi.org/10.1145/3583668.3594574

Maximal Independent Set (MIS) is one of the fundamental and most well-studied problems in distributed graph algorithms. Even after four decades of intensive research, the best known (randomized) MIS algorithms have O(log n) round complexity on genera... Read More about Distributed MIS in O(log log n) Awake Complexity.

Uniting General-Graph and Geometric-Based Radio Networks via Independence Number Parametrization (2023)
Presentation / Conference Contribution
Davies, P. (2023). Uniting General-Graph and Geometric-Based Radio Networks via Independence Number Parametrization. . https://doi.org/10.1145/3583668.3594595

In the study of radio networks, the tasks of broadcasting (propagating a message throughout the network) and leader election (having the network agree on a node to designate ‘leader’) are two of the most fundamental global problems, and have a long h... Read More about Uniting General-Graph and Geometric-Based Radio Networks via Independence Number Parametrization.

Improved Distributed Algorithms for the Lovász Local Lemma and Edge Coloring (2023)
Presentation / Conference Contribution
Davies, P. (2023). Improved Distributed Algorithms for the Lovász Local Lemma and Edge Coloring. In Proceedings of the 2023 Annual ACM-SIAM Symposium on Discrete Algorithms (SODA) (4273-4295). https://doi.org/10.1137/1.9781611977554.ch163

The Lovász Local Lemma is a classic result in probability theory that is often used to prove the existence of combinatorial objects via the probabilistic method. In its simplest form, it states that if we have n ‘bad events’, each of which occurs wit... Read More about Improved Distributed Algorithms for the Lovász Local Lemma and Edge Coloring.

Sorting and Hypergraph Orientation under Uncertainty with Predictions (2023)
Presentation / Conference Contribution
Erlebach, T., de Lima, M., Megow, N., & Schlöter, J. (2023). Sorting and Hypergraph Orientation under Uncertainty with Predictions. In Proceedings of the Thirty-Second International Joint Conference on Artificial Intelligence (5577-5585). https://doi.org/10.24963/ijcai.2023/619

Learning-augmented algorithms have been attracting increasing interest, but have only recently been considered in the setting of explorable uncertainty where precise values of uncertain input elements can be obtained by a query and the goal is to min... Read More about Sorting and Hypergraph Orientation under Uncertainty with Predictions.