You7. Graph traversal is different from a tree traversal, because….a. trees are not connectedb. graphs may have loopsc. trees have rootd. None of these
Question
You7. Graph traversal is different from a tree traversal, because….
a. trees are not connected
b. graphs may have loops
c. trees have root
d. None of these
Solution
Breakdown of the Problem
To determine why graph traversal is different from tree traversal, we need to analyze the characteristics of graphs and trees.
Relevant Concepts
-
Trees:
- A tree is a special case of a graph.
- Trees are acyclic and connected, having a single unique path between any two nodes.
- Trees have a designated root node.
-
Graphs:
- Graphs can either be connected or disconnected.
- Graphs may contain cycles (loops), meaning you can revisit nodes.
- Graphs do not have a root node.
Analysis and Detail
- Option a: Trees are not connected – This statement is false. Trees are always connected by definition.
- Option b: Graphs may have loops – This statement is true. Graphs can contain cycles, while trees cannot.
- Option c: Trees have a root – This is also true. Trees have a defined root node, which is not a characteristic of general graphs.
Verify and Summarize
The most accurate distinction here is option b, which highlights that graphs may have loops, while trees are acyclic.
Final Answer
The correct answer is b. graphs may have loops.
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