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NTHRYSPhD AssistanceTheoretical Computer Science

Theoretical Computer Science

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Theoretical Computer Science

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Research Frontiers in Probabilistic Method and Derandomization

Explores constructive and non-constructive probabilistic techniques for proving existence of combinatorial objects and their deterministic alternatives.

Derandomization Through Algebraic Geometry and Polynomial Methods
Explicit Constructions in Probabilistic Combinatorics
Hardness of Approximation via Derandomized Reductions
Pseudorandom Objects and Their Structural Limits
Conditional Derandomization in Complexity Classes
Randomness Extractors and Expander Graph Duality
Probabilistic Existence and Constructive Algorithmic Realization
Derandomized Spectral Methods in Graph Algorithms
Quantified Randomness: Bounds Without Probability
Entropy and Correlation in Derandomization Barriers

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