Szekeres, George
Erdös-Szekeres conjecture ★★★
Conjecture Every set of points in the plane in general position contains a subset of points which form a convex -gon.
Keywords: combinatorial geometry; Convex Polygons; ramsey theory
Cycle double cover conjecture ★★★★
Conjecture For every graph with no bridge, there is a list of cycles so that every edge is contained in exactly two.