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Preprint Jul 2026

Randomization Helps in Online Graph Exploration: Breaking the Deterministic Lower Bound on Cycles

This work focuses on cycles, a simple graph class which nevertheless captures a key difficulty of online exploration, and develops a randomized algorithm for online exploration of cycles, giving the first provable advantage of randomization in online graph exploration.

Júlia Baligács, Jan Hkazla, Lena Volk · 0 citations