state and prove cayley's theorem
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( n - 2 k ) Tk+1Tn−k−1; for n > 1 and T1 = 1, and then it is proved that Tn = nn−2, which gives yet another proof of the celebrated Cayley's tree formula. Cayley's tree formula is a very elegant result in Graph Theory. The problem is to find the number of all possible trees on a given set of labeled vertices.
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