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Open Problems


Titlesort iconAuthor(s)Imp.¹Rec.²Area » Topic » SubtopicPosted by
Unsolvability of word problem for 2-knot complementsGordon✭✭✭0Topologyrybu
Upgrading a completary multifuncoidPorton✭✭0Topologyporton
Vertex Coloring of graph fractional powersIradmusa✭✭✭1Graph TheoryIradmusa
Vertex Cover Integrality GapAtserias✭✭0Logic » Finite Model Theorydberwanger
Wall-Sun-Sun primes and Fibonacci divisibility✭✭0Number Theory » Computational N.T.adudzik
Waring rank of determinantTeitler✭✭0AlgebraZach Teitler
Weak pentagon problemSamal✭✭0Graph Theory » Coloring » HomomorphismsRobert Samal
Weak saturation of the cube in the cliqueMorrison; Noel✭1Graph Theory » Extremal G.T.Jon Noel
Weighted colouring of hexagonal graphs.McDiarmid; Reed✭✭0Graph Theory » Coloring » Vertex coloringfhavet
What are hyperfuncoids isomorphic to?Porton✭✭0Topologyporton
What is the homotopy type of the group of diffeomorphisms of the 4-sphere?Smale✭✭✭✭0Topologyrybu
What is the largest graph of positive curvature?DeVos; Mohar✭1Graph Theory » Topological G.T. » Planar graphsmdevos
What is the smallest number of disjoint spanning trees made a graph HamiltonianGoldengorin✭✭0Graph Theory » Extremal G.T.boris
Which compact boundaryless 3-manifolds embed smoothly in the 4-sphere?Kirby✭✭✭0Topologyrybu
Which homology 3-spheres bound homology 4-balls?Ancient/folklore✭✭✭✭0Topologyrybu
Which lattices occur as intervals in subgroup lattices of finite groups?✭✭✭✭0Group Theorywilliamdemeo
Which outer reloids are equal to inner onesPorton✭✭0Topologyporton
Wide partition conjectureChow; Taylor✭✭0Combinatoricstchow
Woodall's ConjectureWoodall✭✭✭0Graph Theory » Directed Graphsmdevos
¿Are critical k-forests tight?Strausz✭✭0Graph Theory » HypergraphsDino

Imp.¹: Importance (Low ✭, Medium ✭✭, High ✭✭✭, Outstanding ✭✭✭✭)
Rec.²: Recommended for undergraduates.

Note: Resolved problems from this section may be found in Solved problems.

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