True or false: If an undirected graph 𝐺G on 𝑛n vertices is connected and has at most 𝑛−1n−1 edges then 𝐺G must be a tree.TrueFalseSubmit
Question
Solution 1
Answer: True
To determine if the statement is true or false, let's analyze the definition and properties of trees and graphs.
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Definition of a Tree: A tree is defined as a connected acyclic graph. For a graph with vertices to be a tree, it must have exactly edges.
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True or false: If an undirected graph 𝐺G on 𝑛n vertices is connected and has at most 𝑛−1n−1 edges then 𝐺G must be a tree.TrueFalseSubmit
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