Open Problems


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Faithful cycle coversSeymour✭✭✭0Graph Theory » Basic G.T. » Cyclesmdevos
Extremal problem on the number of tree endomorphismZhicong Lin✭✭1Graph Theory » Extremal G.T.shudeshijie
Extremal $4$-Neighbour Bootstrap Percolation in the HypercubeMorrison; Noel✭✭0CombinatoricsJon Noel
Extension complexity of (convex) polygons✭✭0Geometry » PolytopesDOT
Exponential Algorithms for KnapsackLipton✭✭1Theoretical Comp. Sci. » Algorithmsdick lipton
Exact colorings of graphsErickson✭✭0Graph TheoryMartin Erickson
Every prism over a 3-connected planar graph is hamiltonian.Kaiser; Král; Rosenfeld; Ryjácek; Voss✭✭0Graph Theory » Basic G.T. » Cyclesfhavet
Every metamonovalued reloid is monovaluedPorton✭✭0Topologyporton
Every metamonovalued funcoid is monovaluedPorton✭✭0Topologyporton
Every 4-connected toroidal graph has a Hamilton cycleGrunbaum; Nash-Williams✭✭0Graph Theory » Topological G.T.fhavet
Even vs. odd latin squaresAlon; Tarsi✭✭✭0Combinatoricsmdevos
Euler-Mascheroni constant✭✭✭0Number Theory » Analytic N.T.Juggernaut
Erdős–Straus conjectureErdos; Straus✭✭1Number TheoryACW
Erdős–Faber–Lovász conjectureErdos; Faber; Lovasz✭✭✭0Graph Theory » Coloring » Vertex coloringJon Noel
Erdös-Szekeres conjectureErdos; Szekeres✭✭✭0Geometrymdevos
Erdős-Posa property for long directed cyclesHavet; Maia✭✭0Graph Theory » Directed Graphsfhavet
Equality in a matroidal circumference boundOxley; Royle✭✭0Combinatorics » Matroid TheoryGordon Royle
End-Devouring RaysGeorgakopoulos1Graph Theory » Infinite GraphsAgelos
Elementary symmetric of a sum of matrices✭✭✭0Algebrarscosa
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Edge-Unfolding Convex PolyhedraShephard✭✭0GeometryErik Demaine
Edge-disjoint Hamilton cycles in highly strongly connected tournaments.Thomassen✭✭0Graph Theory » Directed Graphs » Tournamentsfhavet
Edge-Colouring Geometric Complete GraphsHurtado✭✭1GeometryDavid Wood
Edge-antipodal colorings of cubesNorine✭✭0Combinatorics » Ramsey Theorymdevos
Edge Reconstruction ConjectureHarary✭✭✭0Graph Theorymelch
Edge list coloring conjecture✭✭✭0Graph Theory » Coloring » Edge coloringtchow
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Earth-Moon ProblemRingel✭✭1Graph Theory » Coloring » Vertex coloringfhavet
Durer's ConjectureDurer; Shephard✭✭✭1Geometry » Polytopesdmoskovich
Drawing disconnected graphs on surfacesDeVos; Mohar; Samal✭✭0Graph Theory » Topological G.T. » Crossing numbersmdevos
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Double-critical graph conjectureErdos; Lovasz✭✭0Graph Theory » Coloring » Vertex coloringDFR
Domination in plane triangulationsMatheson; Tarjan✭✭0Graph Theory » Topological G.T.mdevos
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