Question: consider a 3dimensional cube 3 and consider the graph given...
Consider a 3-dimensional cube 𝐼3, and consider the graph given by the vertices and edges of 𝐼3 (i.e., the 0-dimensional and 1-dimensional faces or the corners and the straight lines on the boundary connecting them). This is known as the 1-skeleton of 𝐼3.
What is the degree sequence (the list of degrees of the
vertices) of the 1-skeleton of 𝐼3.
Your answer (as a comma separated list):
Now consider the 1-skeleton of an 𝑛n-dimensional cube 𝐼𝑛.
What is the maximal degree of the 1-skeleton of 𝐼𝑛:
What is the minimal degree of the 1-skeleton of 𝐼𝑛：