Determine the truth value for the following statements and justify your answer in each a) Every tree is bipartite. b) There is a tree with degrees 4, 4, 2, 2, 1, 1, 1, 1. c) If two trees have the same number of vertices and the same degrees, then the two trees are isomorphic. d) If T is a rooted binary tree of height 5, then T has at most 25 leaves. case.

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Determine the truth value for the following statements and justify your answer in each
a) Every tree is bipartite.
b) There is a tree with degrees 4, 4, 2, 2, 1, 1, 1, 1.
c) If two trees have the same number of vertices and the same degrees, then the two trees are
isomorphic.
d) If T is a rooted binary tree of height 5, then T has at most 25 leaves.
case.
Transcribed Image Text:Determine the truth value for the following statements and justify your answer in each a) Every tree is bipartite. b) There is a tree with degrees 4, 4, 2, 2, 1, 1, 1, 1. c) If two trees have the same number of vertices and the same degrees, then the two trees are isomorphic. d) If T is a rooted binary tree of height 5, then T has at most 25 leaves. case.
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