# Question: consider a 3dimensional cube 3 and consider the graph given...

###### Question details

Consider a 3-dimensional cube πΌ3, and consider the graph given by the vertices and edges of πΌ3 (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 πΌ3.

What is the degree sequence (the list of degrees of the
vertices) of the 1-skeleton of πΌ3.

Your answer (as a comma separated list):

Now consider the 1-skeleton of an πn-dimensional cube πΌπ.

What is the maximal degree of the 1-skeleton of πΌπ:

What is the minimal degree of the 1-skeleton of πΌποΌ