Combinatorics & Order Theory — Open Conjectures

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Combinatorics

# Conjecture Eponym(s) Comments
1 Dittert conjecture Eric Dittert  
2 Frankl conjecture Péter Frankl  
3 Hadamard conjecture Jacques Hadamard  

Order Theory

# Conjecture Eponym(s) Comments
1 1/3–2/3 conjecture  
2 Gold partition conjecture  

Additive Combinatorics

# Conjecture Eponym(s) Comments
1 Rudin’s conjecture Walter Rudin  

Other

# Conjecture Field Eponym(s) Comments
1 Scholz conjecture Addition chains Arnold Scholz  
2 Singmaster’s conjecture Binomial coefficients David Singmaster