Question: Let n > 2 be an integer. Let G, be the graph defined as follows: the vertex set of G, is the set of all

Let n > 2 be an integer. Let G, be the graph defined as follows: the vertex set of G, is the set of all integer compositions of n, and two compositions o and B in V (Gn ) are adjacent if there is a part a of o and a part b of B such that a = b. For instance (1, 1, 3) and (4, 1) are adjacent in Gs since both compositions contain a part equal to 1. How many components does G, have? Prove your claim

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