Open Problems


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Are there infinite number of Mersenne Primes?✭✭✭✭0Number Theory » Analytic N.T.kurtulmehtap
Circular flow number of regular class 1 graphsSteffen✭✭0Graph Theory » Coloring » Nowhere-zero flowsEckhard Steffen
Circular flow numbers of $r$-graphsSteffen✭✭0Graph TheoryEckhard Steffen
The Double Cap ConjectureKalai✭✭0CombinatoricsJon Noel
Cycles in Graphs of Large Chromatic NumberBrewster; McGuinness; Moore; Noel✭✭0Graph Theory » Coloring » Vertex coloringJon Noel
Saturation in the HypercubeMorrison; Noel; Scott✭✭0CombinatoricsJon Noel
Extremal $4$-Neighbour Bootstrap Percolation in the HypercubeMorrison; Noel✭✭0CombinatoricsJon Noel
Turán Problem for $10$-Cycles in the HypercubeErdos✭✭0CombinatoricsJon Noel
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
3-Decomposition ConjectureArthur; Hoffmann-Ostenhof✭✭✭0Graph Theoryarthur
Monochromatic reachability in arc-colored digraphsSands; Sauer; Woodrow✭✭✭0Graph Theory » Directed Graphsfhavet
Cycle Double Covers Containing Predefined 2-Regular SubgraphsArthur; Hoffmann-Ostenhof✭✭✭0Graph Theoryarthur
Waring rank of determinantTeitler✭✭0AlgebraZach Teitler
Edge-Unfolding Convex PolyhedraShephard✭✭0GeometryErik Demaine
Sidorenko's ConjectureSidorenko✭✭✭0Graph TheoryJon Noel
Multicolour Erdős--Hajnal ConjectureErdos; Hajnal✭✭✭0Graph Theory » Extremal G.T.Jon Noel
Several ways to apply a (multivalued) multiargument function to a family of filtersPorton✭✭✭0Topologyporton
KPZ Universality Conjecture✭✭✭0ProbabilityTomas Kojar
Chromatic number of $\frac{3}{3}$-power of graph✭✭0Graph TheoryIradmusa
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