Open Problems


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Monotone 4-term Arithmetic ProgressionsDavis; Entringer; Graham; Simmons✭✭0Combinatoricsvjungic
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MSO alternation hierarchy over picturesGrandjean✭✭0Logic » Finite Model Theorydberwanger
Multicolour Erdős--Hajnal ConjectureErdos; Hajnal✭✭✭0Graph Theory » Extremal G.T.Jon Noel
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Nearly spanning regular subgraphsAlon; Mubayi✭✭✭0Graph Theory » Basic G.T.mdevos
Negative association in uniform forestsPemantle✭✭0Graph Theory » Probabilistic G.T.mdevos
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Non-edges vs. feedback edge sets in digraphsChudnovsky; Seymour; Sullivan✭✭✭0Graph Theory » Directed Graphsmdevos
Nonseparating planar continuum✭✭0Topologyporton
Nowhere-zero flows✭✭0Algebratigris35711
Number of Cliques in Minor-Closed ClassesWood✭✭0Graph TheoryDavid Wood
Obstacle number of planar graphsAlpert; Koch; Laison1Graph TheoryAndrew King
Odd cycles and low oddness✭✭0Graph TheoryGagik
Odd incongruent covering systemsErdos; Selfridge✭✭✭0Number Theory » Combinatorial N.T.Robert Samal
Odd perfect numbersAncient/folklore✭✭✭1Number Theoryazi
Odd-cycle transversal in triangle-free graphsErdos; Faudree; Pach; Spencer✭✭0Graph Theory » Extremal G.T.fhavet
Olson's ConjectureOlson✭✭0Number Theory » Combinatorial N.T.mdevos
One-way functions exist✭✭✭✭0Theoretical Comp. Sci. » Complexityporton
Open problem✭✭0Algebratigris35711
Order-invariant queriesSegoufin✭✭0Logic » Finite Model Theorydberwanger
Oriented chromatic number of planar graphs✭✭0Graph Theory » Coloring » Vertex coloringRobert Samal
Oriented trees in n-chromatic digraphsBurr✭✭✭0Graph Theory » Directed Graphsfhavet
Outer reloid of restricted funcoidPorton✭✭0Topologyporton
Outward reloid of composition vs composition of outward reloidsPorton✭✭0Topologyporton
P vs. BPPFolklore✭✭✭0Theoretical Comp. Sci. » Complexity » DerandomizationCharles R Great...
P vs. NPCook; Levin✭✭✭✭0Theoretical Comp. Sci. » Algorithmszitterbewegung
P vs. PSPACEFolklore✭✭✭0Theoretical Comp. Sci. » Complexitycwenner
Packing T-joinsDeVos✭✭0Graph Theory » Coloring » Edge coloringmdevos
Partial List ColoringAlbertson; Grossman; Haas✭✭✭0Graph Theory » Coloring » Vertex coloringIradmusa
Partial List ColoringIradmusa✭✭✭0Graph Theory » Coloring » Vertex coloringIradmusa
Partition of a cubic 3-connected graphs into paths of length 2.Kelmans✭✭0Graph Theory » Basic G.T. » Pathsfhavet
Partition of Complete Geometric Graph into Plane Trees✭✭0GeometryDavid Wood
Partitioning edge-connectivityDeVos✭✭0Graph Theory » Basic G.T. » Connectivitymdevos
Partitioning the Projective PlaneNoel✭✭1GeometryJon Noel
Partitionning a tournament into k-strongly connected subtournaments.Thomassen✭✭0Graph Theory » Directed Graphs » Tournamentsfhavet
Pebbling a cartesian productGraham✭✭✭0Graph Theorymdevos
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