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Consider a 3-dimensional cube 3, and consider the graph given by the vertices and edges of 3 (i.e., the 0-dimensional and 1-dimensional faces or the
Consider a 3-dimensional cube 3, and consider the graph given by the vertices and edges of 3 (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 3.
What is the degree sequence (the list of degrees of the vertices) of the 1-skeleton of 3. Your answer (as a comma separated list):
Now consider the 1-skeleton of an n-dimensional cube . What is the maximal degree of the 1-skeleton of :
What is the minimal degree of the 1-skeleton of
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