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Sorting and Hypergraph Orientation under Uncertainty with Predictions (2023)
Conference Proceeding
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.

List 3-Coloring on Comb-Convex and Caterpillar-Convex Bipartite Graphs (2023)
Conference Proceeding
Baklan Sen, B., Diner, Ö. Y., & Erlebach, T. (2023). List 3-Coloring on Comb-Convex and Caterpillar-Convex Bipartite Graphs. In Proceedings of the 29th International Computing and Combinatorics Conference (COCOON 2023) (168-181). https://doi.org/10.1007/978-3-031-49190-0_12

Given a graph G = (V, E) and a list of available colors L(v) for each vertex v ∈ V, where L(v) ⊆ {1, 2, . . . , k}, LIST k-COLORING refers to the problem of assigning colors to the vertices of G so that each vertex receives a color from its own list... Read More about List 3-Coloring on Comb-Convex and Caterpillar-Convex Bipartite Graphs.

Parameterized temporal exploration problems (2023)
Journal Article
Erlebach, T., & Spooner, J. T. (2023). Parameterized temporal exploration problems. Journal of Computer and System Sciences, 135, 73-88. https://doi.org/10.1016/j.jcss.2023.01.003

In this paper we study the fixed-parameter tractability of the problem of deciding whether a given temporal graph G admits a temporal walk that visits all vertices (temporal exploration) or, in some problem variants, a certain subset of the vertices.... Read More about Parameterized temporal exploration problems.

Learning-Augmented Query Policies for Minimum Spanning Tree with Uncertainty (2022)
Conference Proceeding
Erlebach, T., de Lima, M. S., Megow, N., & Schlöter, J. (2022). Learning-Augmented Query Policies for Minimum Spanning Tree with Uncertainty. In S. Chechik, G. Navarro, E. Rotenberg, & G. Herman (Eds.), 30th Annual European Symposium on Algorithms (ESA 2022) (12:1-12:16). https://doi.org/10.4230/lipics.esa.2022.12

We study how to utilize (possibly erroneous) predictions in a model for computing under uncertainty in which an algorithm can query unknown data. Our aim is to minimize the number of queries needed to solve the minimum spanning tree problem, a fundam... Read More about Learning-Augmented Query Policies for Minimum Spanning Tree with Uncertainty.

Exploration of k-Edge-Deficient Temporal Graphs (2022)
Journal Article
Erlebach, T., & Spooner, J. T. (2022). Exploration of k-Edge-Deficient Temporal Graphs. Acta Informatica, 59(4), 387-407. https://doi.org/10.1007/s00236-022-00421-5

A temporal graph with lifetime L is a sequence of L graphs G1, . . . , GL, called layers, all of which have the same vertex set V but can have different edge sets. The underlying graph is the graph with vertex set V that contains all the edges that a... Read More about Exploration of k-Edge-Deficient Temporal Graphs.

Parameterized temporal exploration problems (2022)
Conference Proceeding
Erlebach, T., & Spooner, J. T. (2022). Parameterized temporal exploration problems. In J. Aspnes, & O. Michail (Eds.), . https://doi.org/10.4230/lipics.sand.2022.15

In this paper we study the fixed-parameter tractability of the problem of deciding whether a given temporal graph G admits a temporal walk that visits all vertices (temporal exploration) or, in some problem variants, a certain subset of the vertices.... Read More about Parameterized temporal exploration problems.

Car-Sharing between Two Locations: Online Scheduling with Flexible Advance Bookings (2022)
Journal Article
Luo, K., Erlebach, T., & Xu, Y. (2022). Car-Sharing between Two Locations: Online Scheduling with Flexible Advance Bookings. Discrete Applied Mathematics, 313, 53-66. https://doi.org/10.1016/j.dam.2022.01.016

We study an online scheduling problem that is motivated by applications such as car-sharing. Users submit ride requests, and the scheduler aims to accept requests of maximum total profit using a single server (car). Each ride request specifies the pi... Read More about Car-Sharing between Two Locations: Online Scheduling with Flexible Advance Bookings.

Orienting (Hyper)graphs Under Explorable Stochastic Uncertainty (2021)
Conference Proceeding
Bampis, E., Dürr, C., Erlebach, T., de Lima, M. S., Megow, N., & Schlöter, J. (2021). Orienting (Hyper)graphs Under Explorable Stochastic Uncertainty. . https://doi.org/10.4230/lipics.esa.2021.10

Given a hypergraph with uncertain node weights following known probability distributions, we study the problem of querying as few nodes as possible until the identity of a node with minimum weight can be determined for each hyperedge. Querying a node... Read More about Orienting (Hyper)graphs Under Explorable Stochastic Uncertainty.