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SIAM Journal on Discrete Mathematics· 2026Q1

Tight (Double) Exponential Bounds for Identification Problems: Locating-Dominating Set and Test Cover

Dipayan Chakraborty, Florent Foucaud, Diptapriyo Majumdar, Prafullkumar Tale

Short summary

Locating-Dominating Set and Test Cover problems do not admit algorithms faster than O(2^tw) or O(2^k) respectively, and polynomial-time kernelization with O(tw) or O(k) vertices, unless the Exponential Time Hypothesis (ETH) fails.

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Field: Computational Theory and Mathematics

Computational Theory and MathematicsComputer Science