2 papers
cs.DS2025
Improved Approximation Algorithms for Three-Dimensional Knapsack
Klaus Jansen, Debajyoti Kar, Arindam Khan +2
We study the three-dimensional Knapsack (3DK) problem, in which we are given a set of axis-aligned cuboids with associated profits and an axis-aligned cube knapsack. The objective…
cs.DS2024
FPT Algorithms using Minimal Parameters for a Generalized Version of Maximin Shares
Klaus Jansen, Alexandra Lassota, Malte Tutas +1
We study the computational complexity of fairly allocating indivisible, mixed-manna items. For basic measures of fairness, this problem is hard in general. Thus, research has flour…