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Discrete Mathematics

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Discrete Mathematics

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Research Frontiers in Probabilistic Methods in Combinatorics

Application of probability theory to prove existence of combinatorial structures and analyze random discrete systems through expectation and concentration bounds.

Threshold Phenomena in Random Graph Thresholds

Probabilistic Existence Beyond Union Bounds

Correlations and Dependencies in Random Structures

Concentration Inequalities for Combinatorial Extremes

Algorithmic Implications of Probabilistic Proofs

Phase Transitions in Constraint Satisfaction Models

Derandomization and Explicit Construction Techniques

Probabilistic Coloring and Graph Decomposition

Second Moment Methods in Discrete Structures

Lovász Local Lemma and Its Fine Structure

All Discrete Mathematics PhD categories