# Norine, Serguei

## Edge-antipodal colorings of cubes ★★

Author(s): Norine

We let denote the -dimensional cube graph. A map is called *edge-antipodal* if whenever are antipodal edges.

**Conjecture**If and is edge-antipodal, then there exist a pair of antipodal vertices which are joined by a monochromatic path.

Keywords: antipodal; cube; edge-coloring