A tree with n vertices is called graceful if its vertices
Chapter , Problem 35E(choose chapter or problem)
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 caterpillar is a tree that contains a simple path such that every vertex not contained in this path is adjacent to a vertex in the path.
Equation Transcription:
Text Transcription:
1, 2,...,n
n
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