Combinatorics

Also see: Graph Theory » Hypergraphs
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Wide partition conjectureChow; Taylor✭✭0tchow
Transversal achievement game on a square gridErickson✭✭1Martin Erickson
The permanent conjectureKahn✭✭0Matricesmdevos
The large sets conjectureBrown; Graham; Landman✭✭✭0Ramsey Theoryvjungic
The Alon-Tarsi basis conjectureAlon; Linial; Meshulam✭✭0Matricesmdevos
The additive basis conjectureJaeger; Linial; Payan; Tarsi✭✭✭0Matricesmdevos
Square achievement game on an n x n gridErickson✭✭1Martin Erickson
Shuffle-Exchange ConjectureBeneš; Folklore; Stone✭✭✭0Vadim Lioubimov
Sequence defined on multisetsErickson✭✭1Martin Erickson
Saturated $k$-Sperner Systems of Minimum SizeMorrison; Noel; Scott✭✭1PosetsJon Noel
Rota's unimodal conjectureRota✭✭✭0Matroid Theorymdevos
Rota's basis conjectureRota✭✭✭0Matricesmdevos
Roller Coaster permutationsAhmed; Snevily✭✭✭0Tanbir Ahmed
Rainbow AP(4) in an almost equinumerous coloringConlon✭✭0vjungic
Perfect 2-error-correcting codes over arbitrary finite alphabets.✭✭0Codesdavidcullen
Monotone 4-term Arithmetic ProgressionsDavis; Entringer; Graham; Simmons✭✭0vjungic
Long rainbow arithmetic progressionsFox; Jungic; Mahdian; Nesetril; Radoicic✭✭0vjungic
Length of surreal productGonshor1Lukáš Lánský
Even vs. odd latin squaresAlon; Tarsi✭✭✭0mdevos
Equality in a matroidal circumference boundOxley; Royle✭✭0Matroid TheoryGordon Royle
Edge-antipodal colorings of cubesNorine✭✭0Ramsey Theorymdevos
Dividing up the unrestricted partitionsDavid S.; Newman✭✭0DavidSNewman
Ding's tau_r vs. tau conjectureDing✭✭✭0Optimizationmdevos
Diagonal Ramsey numbersErdos✭✭✭✭0Ramsey Theorymdevos
Concavity of van der Waerden numbersLandman✭✭0Ramsey TheoryBruce Landman
Combinatorial covering designsGordon; Mills; Rödl; Schönheim0DesignsPseudonym
Beneš ConjectureBeneš✭✭✭0Vadim Lioubimov
Bases of many weightsSchrijver; Seymour✭✭✭0Matroid Theorymdevos
Aharoni-Berger conjectureAharoni; Berger✭✭✭0Matroid Theorymdevos
A nowhere-zero point in a linear mappingJaeger✭✭✭0Matricesmdevos
3-accessibility of Fibonacci numbersLandman; Robertson✭✭0vjungic
2-accessibility of primesLandman; Robertson✭✭0vjungic
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