Clustering is a basic tool for grouping data into meaningful classes, but in many applications the resulting clusters must also respect the fairness conditions among different groups. We study this direction for the group-fair Euclidean $k$-center problem in fixed dimension, where the input points are partitioned into...
We study the classical and parameterized complexity of efficient connected allocation problems on graphs, where efficiency is measured by egalitarian and utilitarian welfare maximization. We first establish a sharp complexity dichotomy in the classical setting: both problems are NP-hard in general and remain hard even...
S. Bandopadhyay, Anish Datta, Palash Dey et al.· 0 citations
A faster approximation algorithms that produce valid schedules for telephone broadcasting, and parameterized hardness for vertex cover above maximum matching, dominating set size, and graph diameter, indicating that FPT algorithms for these parameters are unlikely.
Rudranarayan Kar, Praneet Kumar Patra, Diya Roy et al.· arXiv.org· 0 citations
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