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 |
References
- van Lint, J. H. & Wilson, R. M. A Course in Combinatorics. 2nd ed., Cambridge University Press, 2001.
- Stanley, R. P. Enumerative Combinatorics. Vol. 1 & 2, Cambridge University Press.
For references on the formalized Dittert, Gold partition, Hadamard, and Sensitivity conjectures, see the centralized bibliography.