Open Problems

Title	Author(s)	Imp.¹	Rec.²	Area » Topic » Subtopic	Posted by
Fractional Hadwiger	Harvey; Reed; Seymour; Wood	✭✭	1	Graph Theory	David Wood
Forcing a 2-regular minor	Reed; Wood	✭✭	1	Graph Theory » Basic G.T. » Minors	David Wood
Generalised Empty Hexagon Conjecture	Wood	✭✭	1	Geometry	David Wood
List Colourings of Complete Multipartite Graphs with 2 Big Parts	Allagan	✭✭	1	Graph Theory » Coloring » Vertex coloring	Jon Noel
Saturated $k$-Sperner Systems of Minimum Size	Morrison; Noel; Scott	✭✭	1	Combinatorics » Posets	Jon Noel
Chromatic number of associahedron	Fabila-Monroy; Flores-Penaloza; Huemer; Hurtado; Urrutia; Wood	✭✭	1	Geometry	David Wood
Convex Equipartitions with Extreme Perimeter	Nandakumar	✭✭	1	Geometry	Nandakumar
Weak saturation of the cube in the clique	Morrison; Noel	✭	1	Graph Theory » Extremal G.T.	Jon Noel
Monochromatic vertex colorings inherited from Perfect Matchings		✭✭✭	1	Graph Theory	Mario Krenn
Singmaster's conjecture	Singmaster	✭✭	1	Number Theory » Combinatorial N.T.	Zach Teitler
3-Edge-Coloring Conjecture	Arthur; Hoffmann-Ostenhof	✭✭✭	1	Graph Theory	arthur

Open Problem Garden