A labeled tree is a tree where each vertex is assigned a
Chapter , Problem 38E(choose chapter or problem)
A labeled tree is a tree where each vertex is assigned a label. Two labeled trees are considered isomorphic when there is an isomorphic between them that preserves the labels of vertices. How many nonisomorphic trees are there with three vertices labeled with different integers from the set {1,2,3}? How many nonisomorphic trees are there with four vertices labeled with different integers from the set {1.2.3.4}?The eccentricity of a vertex in an unrooted tree is the length of the longest simple path beginning at this vertex. A vertex is called a center if no vertex in the tree has smaller eccentricity than this vertex. In Exercises 39?41 find every vertex that is a center in the given tree.
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