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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 32 Select one:

  • A directed graph

  • Completely connected

  • Contains no cycles

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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.

This problem has been solved

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