A tree with n vertices is called graceful if its

A tree with n vertices is called graceful if its vertices can be labeled with the integers 1, 2, . . . , n such that the absolute values of the difference of the labels of adjacent vertices are all different. Show that these trees are graceful.
a)
A tree with n vertices is called graceful if its

b)

A tree with n vertices is called graceful if its

c)

A tree with n vertices is called graceful if its

d)

A tree with n vertices is called graceful if its

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