Tree Structure: Hierarchy
Tree Structure problems involve hierarchical relationships where persons have managers and subordinates. You must build a tree (directed graph) from clues about reporting relationships, departments, and roles. These problems test graph construction and navigation skills.
What You'll Learn
Introduction to Tree Structure: Hierarchy
Tree Structure problems involve hierarchical relationships where persons have managers and subordinates. You must build a tree (directed graph) from clues about reporting relationships, departments, and roles. These problems test graph construction and navigation skills.
Prerequisites
How to Solve Tree Structure: Hierarchy Problems
Step 1: List all persons in the hierarchy
Step 2: Identify the root (top-level manager) from clues
Step 3: Add each reporting relationship as an edge (manager → subordinate)
Step 4: Ensure no cycles exist (pure tree structure)
Step 5: Assign departments and roles based on clues
Step 6: Answer questions about direct reports, managers, or chain of command
Step 7: Verify all relationships are satisfied
Example Problem
Example: Six employees in a hierarchy. A and B report to M. C and D report to A. E reports to B. F reports to C. Who is the direct manager of F? Solution: Step 1: List persons: M, A, B, C, D, E, F Step 2: Root: M (A and B report to M) Step 3: Build tree: M → A, M → B; A → C, A → D; B → E; C → F Step 4: F reports to C Answer: C is manager of F
Pro Tips & Tricks
- The root has no manager (top-level)
- Each non-root person reports to exactly one manager
- Direct reports are immediate subordinates
- Indirect reports are subordinates through intermediate managers
- Level 1 = root, Level 2 = direct reports, etc.
- Use arrows pointing from manager to subordinate
Shortcut Methods to Solve Faster
Common Mistakes to Avoid
Practice Worksheets
Practice makes perfect! Work through these worksheets to master Tree Structure: Hierarchy. Each worksheet contains 20 questions with detailed explanations. Start from Worksheet 1 and progress through increasing difficulty levels.
Exam Importance
Tree Structure: Hierarchy is an important topic for various competitive exams. Here's how frequently it appears:
Ready to Master Tree Structure: Hierarchy?
Start with Worksheet 1 and work your way up to expert level! Each worksheet includes: