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There are nn-2 labeled trees with n vertices(n>2)

Can anyone explain it with complete proof?

asked in Programming by Veteran (11.4k points)   | 77 views

1 Answer

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There are nn-2 labeled tree with n vertices

In a tree with 3 nodes we can have 3 labeled tree

suppose there a three nodes 1,2,3

1-2-3  ,  1-3-2 and 2-1-3

if n=3 we have 33-2=3 labeled trees

In a tree with 4 nodes we can have 16 labeled tree

In a tree with 5 nodes we can have 125 labeled tree

answered by (317 points)  


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