Let T be a tree with 50 edges. The removal of certain edge from T yields two disjoint trees T1 and T2. Given that the number of vertices in T1 equals the number of edges in T2, determine the number of vertices and the number of edges in T1 and T2.Also, show that a regular binary tree has an odd number of vertices.

Computer Networking: A Top-Down Approach (7th Edition)
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ISBN:9780133594140
Author:James Kurose, Keith Ross
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Let T be a tree with 50 edges. The removal of certain edge from T yields two disjoint trees T1 and T2. Given that the number of vertices in T1 equals the number of edges in T2, determine the number of vertices and the number of edges in T1 and T2.Also, show that a regular binary tree has an odd number of vertices.

(a) Let T be a tree with 50 edges. The removal of certain edge from T yields two disjoint
trees T1 and T2. Given that the number of vertices in T1 equals the number of edges in
T2, determine the number of vertices and the number of edges in T1 and T2.Also, show
that a regular binary tree has an odd number of vertices.
Transcribed Image Text:(a) Let T be a tree with 50 edges. The removal of certain edge from T yields two disjoint trees T1 and T2. Given that the number of vertices in T1 equals the number of edges in T2, determine the number of vertices and the number of edges in T1 and T2.Also, show that a regular binary tree has an odd number of vertices.
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