Graph vs Tree Key Structural Difference in DSA C - Key Differences

Recall & Review

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What is the main structural difference between a graph and a tree?

A tree is a special type of graph that has no cycles and exactly one path between any two nodes, while a graph can have cycles and multiple paths between nodes.

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Can a tree have cycles? Why or why not?

No, a tree cannot have cycles because it must have exactly one path between any two nodes, ensuring no loops exist.

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Is every tree a graph? Explain.

Yes, every tree is a graph because it is a set of nodes connected by edges, but with the special property of no cycles and a hierarchical structure.

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What does it mean for a graph to be cyclic or acyclic?

A cyclic graph contains at least one cycle (a path that starts and ends at the same node), while an acyclic graph has no such cycles.

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How many paths can exist between two nodes in a tree compared to a general graph?

In a tree, there is exactly one path between any two nodes. In a general graph, there can be multiple paths between nodes.

Which of the following is true about trees?

A They can have multiple cycles.

B They are not graphs.

C They always have multiple paths between nodes.

D They have no cycles and exactly one path between any two nodes.

Trees are acyclic graphs with exactly one path between any two nodes.

What is a key difference between a graph and a tree?

A Graphs cannot have cycles, trees can.

B Trees have cycles, graphs do not.

C Trees have no cycles, graphs can have cycles.

D Graphs always have exactly one path between nodes.

Trees are acyclic, but graphs can have cycles.

Is a tree a type of graph?

A No, they are completely different.

B Yes, a tree is a special kind of graph.

C Only if it has cycles.

D Only if it has multiple paths between nodes.

A tree is a special graph with no cycles and hierarchical structure.

How many paths exist between two nodes in a tree?

A One

B Zero

C Multiple

D Depends on the tree

A tree has exactly one path between any two nodes.

Which property is NOT true for a tree?

A Can have multiple disconnected parts

B Exactly one path between nodes

C No cycles

D Is a connected graph

A tree is connected and cannot have multiple disconnected parts.

Explain the key structural differences between a graph and a tree.

Think about cycles and how many paths connect two nodes.

Describe why a tree is considered a special type of graph.

Focus on what makes trees unique compared to general graphs.