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Discrete Mathematics

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Discrete Mathematics

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Research Frontiers in Extremal Graph Theory and Forbidden Substructures

Research on determining maximum or minimum sizes of graphs avoiding specific subgraphs, including Turán-type problems and hypergraph generalizations.

Chromatic Barriers in Sparse Forbidden Configurations
Turán Density Beyond Classical Graph Families
Hypergraph Regularity and Forbidden Pattern Detection
Stability Phenomena in Extremal Structure Problems
Degenerate Subgraph Avoidance and Growth Rates
Algebraic Methods in Forbidden Minors Theory
Ramsey-Type Thresholds for Induced Substructures
Flag Algebra Frontiers in Combinatorial Optimization
Fractional Packing Against Forbidden Embeddings
Saturation Bounds for Sparse Forbidden Configurations

All Discrete Mathematics PhD categories