(Solved):Prove or disprove: If a tree has an even number of nodes, at least one node has even degree. View Answer…

 

Question

Prove or disprove: If a tree has an even number of nodes, at least one node has even degree.

 

EXPERT ANSWER

Regardless of the number of nodes, every tree has at least one node with zero degree, which is basically even, since they all have at least one leaf.

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