Which of the following is a canonical example of a hierarchical data structure used in computer science?

Difficulty: Easy

Correct Answer: tree

Explanation:


Introduction / Context:
Data structures organize information to support efficient operations. Understanding which structures are hierarchical versus linear is foundational for algorithm design and system modeling.



Given Data / Assumptions:

  • We compare common structures: arrays, linked lists, and trees.
  • We must select the hierarchical one.


Concept / Approach:
A hierarchical structure organizes elements in parent–child relationships forming levels. A tree is the archetypal hierarchical structure, supporting operations like traversals (preorder, inorder, postorder) and representing hierarchical data (filesystems, DOMs, organizational charts).



Step-by-Step Solution:

Consider array: elements addressed by index; structure is linear.Consider linked list: nodes connected linearly (singly/doubly); still linear.Consider tree: nodes have children; forms levels → hierarchical.


Verification / Alternative check:
Check typical use cases: hierarchical menus, file directories, and parse trees all use tree structures.



Why Other Options Are Wrong:
Arrays and linked lists are linear, not hierarchical; 'All of the above' would be incorrect.



Common Pitfalls:
Confusing ”graph” (general) with ”tree” (acyclic, connected); while graphs can represent hierarchies, trees are the classic hierarchical data structure.



Final Answer:
tree

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