it is a beautiful curve.

To deal with nodes and edges of hypercubes is my recent work. We usaully use "aggegrate" A to denote a set of connected nodes, and the size of it |A| means the number of nodes included the set. Given a size, |A| = x of an aggregate, there could be many possible different forms. Here, we want to know the number of minimum boundary edges, b(x) for all possible forms. In previous researches, Leader (1991) proposed a formula that can exactly calculate the value of b(x).

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