Hadwiger conjecture

alternative Hadwiger's conjecture

1. graph theoryA conjecture regarding the relationship between the number of colors needed by a given graph and the size of its largest clique minor.
2. geometryThe conjecture that at most 2n smaller homothetic bodies are necessary to contain any single given n-dimensional convex body.
3. geometryThe conjecture that every simplex can be dissected into orthoschemes, using a number of orthoschemes bounded by a function of the dimension of the simplex.