Hadwiger conjecture

There are several conjectures known as the Hadwiger conjecture or Hadwiger's conjecture. They include:


 * Hadwiger conjecture (graph theory), a relationship between the number of colors needed by a given graph and the size of its largest clique minor
 * Hadwiger conjecture (combinatorial geometry) that for any n-dimensional convex body, at most 2n smaller homothetic bodies are necessary to contain the original
 * Hadwiger's conjecture on dissection into orthoschemes