Science ❯ Mathematics

Combinatorics

Graph Theory Random Processes Catalan Numbers Partitions Polymatroids Construction Techniques Universal Cycles Symmetric Patterns Spanning Trees Finite Geometry Theoretical Results Graph Properties Path Structures Graph Enumeration Intersection Theory Eisenstein Series Tangles Branching Processes Proof Techniques Inversion Theorems Latin Squares Cubical Sets Erdős Problems Network Flows Applications Graph Algorithms Set Theory Enumerative Combinatorics Matroid Theory Algorithms Necklace Concatenation Algorithms Quadrangulations Coloring Problems Stirling's Approximation Invariants State-Sum Formulas Generating Functions Hypergraphs Integer Sequences Combinatorial Structures

OpenAI Retracts GPT-5 Erdős Breakthrough Claims After Backlash

Reporting now indicates GPT-5 surfaced prior solutions in the literature rather than original proofs.