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20242026
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cs.DS2026

Pack, Remove, Reserve -- Online Knapsack with Second Thoughts

Hans-Joachim Böckenhauer, Dennis Komm, Emanuel Skodinis +2

The paper analyzes the online proportional knapsack problem when both reservation and removal actions are allowed, determining optimal competitive ratios for all cost parameter pai…

cs.DS2025

Stealing From the Dragon's Hoard: Online Unbounded Knapsack With Removal

Matthias Gehnen, Moritz Stocker, Kübra Güven

We introduce the Online Unbounded Knapsack Problem with Removal, a variation of the well-known Online Knapsack Problem. Items, each with a weight and value, arrive online and an al…

cs.DS2025

Online Knapsack Problems with Estimates

Jakub Balabán, Matthias Gehnen, Henri Lotze +2

Imagine you are a computer scientist who enjoys attending conferences or workshops within the year. Sadly, your travel budget is limited, so you must select a subset of events you…

cs.DS2025

Forbidden Subgraph Problems with Predictions

Hans-Joachim Böckenhauer, Melvin Jahn, Dennis Komm +1

In the Online Delayed Connected H-Node-Deletion Problem, an unweighted graph is revealed vertex by vertex and it must remain free of any induced copies of a specific connected indu…

cs.DS2024

Online Unbounded Knapsack

Hans-Joachim Böckenhauer, Matthias Gehnen, Juraj Hromkovič +6

We analyze the competitive ratio and the advice complexity of the online unbounded knapsack problem. An instance is given as a sequence of n items with a size and a value each, and…