Any graph is a tree if and only if the graph is.... Question 32Select one: A directed graph Completely connected Contains no cycles
Question
Any graph is a tree if and only if the graph is....
Question 32Select one:
A directed graph
Completely connected
Contains no cycles
Solution
The correct answer is "Contains no cycles".
A tree is a type of graph, but not all graphs are trees. A tree is a special type of graph that has certain properties that distinguish it from other types of graphs.
One of these properties is that a tree is acyclic, meaning it does not contain any cycles. A cycle is a path of edges and vertices wherein a vertex is reachable from itself. So, if a graph contains no cycles, it can be a tree.
Therefore, the statement "Any graph is a tree if and only if the graph contains no cycles" is true.
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