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cs.DS2025
Vizing's Theorem in Deterministic Almost-Linear Time
Sepehr Assadi, Soheil Behnezhad, Sayan Bhattacharya +3
Vizing's theorem states that any -vertex -edge graph of maximum degree can be edge colored using at most different colors. Vizing's original proof is easily transl…
cs.DS2025
Fully Dynamic Euclidean k-Means
Sayan Bhattacharya, Martín Costa, Ermiya Farokhnejad +3
We consider the Euclidean -means clustering problem in a dynamic setting, where we have to explicitly maintain a solution (a set of centers) subje…
cs.DS2025
Deterministic -Median Clustering in Near-Optimal Time
Martín Costa, Ermiya Farokhnejad
The metric -median problem is a textbook clustering problem. As input, we are given a metric space of size and an integer , and our task is to find a subset $S \subse…