Dragonfall Messages 1,023 Reaction score 5 Thread starter Jun 3, 2009 #1 What is the chromatic number of the n-cube? As a graph, I mean. For the square and 3-cube, for example, it's 2.
What is the chromatic number of the n-cube? As a graph, I mean. For the square and 3-cube, for example, it's 2.
Moo Of Doom Messages 365 Reaction score 1 Jun 3, 2009 #3 The n-cube is bipartite, so its chromatic number is 2. If we label the vertices canonically with vectors in [tex]\{0, 1\}^n[/tex], then we can partition the vertices into those with an even number of 1's and those with an odd number of 1's.
The n-cube is bipartite, so its chromatic number is 2. If we label the vertices canonically with vectors in [tex]\{0, 1\}^n[/tex], then we can partition the vertices into those with an even number of 1's and those with an odd number of 1's.