Open Problems

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Universal point sets for planar graphsMohar✭✭✭0Graph Theory » Topological G.T. » Drawingsmdevos
Half-integral flow polynomial valuesMohar✭✭0Graph Theory » Algebraic G.T.mohar
List colorings of edge-critical graphsMohar✭✭0Graph Theory » Coloring » Edge coloringRobert Samal
Infinite uniquely hamiltonian graphsMohar✭✭0Graph Theory » Infinite GraphsRobert Samal
Circular choosability of planar graphsMohar0Graph Theory » Coloring » Homomorphismsrosskang
Extremal $4$-Neighbour Bootstrap Percolation in the HypercubeMorrison; Noel✭✭0CombinatoricsJon Noel
Weak saturation of the cube in the cliqueMorrison; Noel1Graph Theory » Extremal G.T.Jon Noel
Saturated $k$-Sperner Systems of Minimum SizeMorrison; Noel; Scott✭✭1Combinatorics » PosetsJon Noel
Saturation in the HypercubeMorrison; Noel; Scott✭✭0CombinatoricsJon Noel
Convex Equipartitions with Extreme PerimeterNandakumar✭✭1GeometryNandakumar
Convex 'Fair' Partitions Of Convex PolygonsNandakumar; Ramana✭✭1GeometryNandakumar
Pentagon problemNesetril✭✭✭0Graph Theory » Coloring » HomomorphismsRobert Samal
The Two Color ConjectureNeumann-Lara✭✭0Graph Theory » Directed Graphsmdevos
Choice Number of k-Chromatic Graphs of Bounded OrderNoel✭✭1Graph Theory » Coloring » Vertex coloringJon Noel
Choosability of Graph PowersNoel✭✭1Graph Theory » Coloring » Vertex coloringJon Noel
Partitioning the Projective PlaneNoel✭✭1GeometryJon Noel
Edge-antipodal colorings of cubesNorine✭✭0Combinatorics » Ramsey Theorymdevos
Is there an algorithm to determine if a triangulated 4-manifold is combinatorially equivalent to the 4-sphere?Novikov✭✭✭0Topologyrybu
Olson's ConjectureOlson✭✭0Number Theory » Combinatorial N.T.mdevos
Linear Hypergraphs with Dimension 3Ossona de Mendez; Rosenstiehl; de Fraysseix✭✭0Graph Theory » Topological G.T. » Drawingstaxipom
Equality in a matroidal circumference boundOxley; Royle✭✭0Combinatorics » Matroid TheoryGordon Royle
Are different notions of the crossing number the same?Pach; Tóth✭✭✭0Graph Theory » Topological G.T. » Crossing numberscibulka
$C^r$ Stability ConjecturePalis; Smale✭✭✭✭0Analysism n
Three-chromatic (0,2)-graphsPayan✭✭0Graph Theory » ColoringGordon Royle
Negative association in uniform forestsPemantle✭✭0Graph Theory » Probabilistic G.T.mdevos
Smooth 4-dimensional Poincare conjecturePoincare; Smale; Stallings✭✭✭✭0Topologyrybu
S(S(f)) = S(f) for reloidsPorton✭✭0Topologyporton
Outer reloid of restricted funcoidPorton✭✭0Topologyporton
Strict inequalities for products of filtersPorton0Topologyporton
Funcoidal products inside an inward reloidPorton✭✭0Topologyporton
Upgrading a completary multifuncoidPorton✭✭0Topologyporton
Atomicity of the poset of completary multifuncoidsPorton✭✭0Topologyporton
Atomicity of the poset of multifuncoidsPorton✭✭0Topologyporton
Graph product of multifuncoidsPorton✭✭0Topologyporton
A conjecture about direct product of funcoidsPorton✭✭0Topologyporton
Decomposition of completions of reloidsPorton✭✭0Topologyporton
Every metamonovalued funcoid is monovaluedPorton✭✭0Topologyporton
Every metamonovalued reloid is monovaluedPorton✭✭0Topologyporton
Generalized path-connectedness in proximity spacesPorton✭✭0Topologyporton
Direct proof of a theorem about compact funcoidsPorton✭✭0Topologyporton
Another conjecture about reloids and funcoidsPorton✭✭0Topologyporton
What are hyperfuncoids isomorphic to?Porton✭✭0Topologyporton
Infinite distributivity of meet over join for a principal funcoidPorton✭✭0Topologyporton
A funcoid related to directed topological spacesPorton✭✭0Topologyporton
Outward reloid of composition vs composition of outward reloidsPorton✭✭0Topologyporton
A diagram about funcoids and reloidsPorton✭✭0Topologyporton
Which outer reloids are equal to inner onesPorton✭✭0Topologyporton
Several ways to apply a (multivalued) multiargument function to a family of filtersPorton✭✭✭0Topologyporton
Hamiltonicity of Cayley graphsRapaport-Strasser✭✭✭1Graph Theory » Basic G.T. » Cyclestchow
Reed's omega, delta, and chi conjectureReed✭✭✭0Graph Theory » Coloring » Vertex coloringmdevos
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