Author

Rudranarayan Kar

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Preprint Oct 2026

Subexponential Parameterized Approximation for Group-Fair Euclidean $k$-Center

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...

Rudranarayan Kar, Diya Roy, Abhishek Sahu · 0 citations

Jul 2026

Exploiting Graph Structure for Near-Optimal Broadcasting

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