MODULE 12 · ADVANCED

Binary Trees: Recursive Traversals, BFS & Tree DiameterJava & Data Structures · Module 12

Master hierarchical tree structures: TreeNode anatomy, Pre/In/Post-order traversals (recursive & iterative with explicit stack), BFS Level-Order, and tree diameter.

4 lessons16 min readingTrees, Heaps, Graph Algorithms & Dynamic Programming
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WHAT THIS MODULE COVERS

Binary Trees: Recursive Traversals, BFS & Tree Diameter

Master hierarchical tree structures: TreeNode anatomy, Pre/In/Post-order traversals (recursive & iterative with explicit stack), BFS Level-Order, and tree diameter.

BEFORE YOU START

Recursion and pointer-based node hierarchies

WHAT YOU’LL BE ABLE TO DO

Command of recursive and iterative tree traversals, Lowest Common Ancestor, tree diameter, and preorder serialization codecs.

THE LESSON SEQUENCE

Read in order, or jump to what you need.

Every lesson builds on the one before it. Open any lesson to read the explanation, run the examples, and try the practice challenges.

  1. 12.01
    Binary Tree Traversals: Pre, In & Post-Order (Recursive & Iterative)

    Deconstruct tree traversal algorithms. Contrast Depth-First Search (DFS) orderings, trace recursive call stacks, and implement iterative traversals using an explicit stack.

    4 min
  2. 12.02
    Breadth-First Search: Level-Order Traversal & Tree Diameter

    Master horizontal tree traversals. Learn Breadth-First Search (BFS) using a Queue, level-by-level batching, zig-zag traversals, and calculating tree diameter.

    4 min
  3. 12.03
    Tree Topology: Lowest Common Ancestor (LCA) and Tree Diameter Algorithms

    Solve structural tree problems through post-order recursion invariants: computing Lowest Common Ancestor (LCA) and the diameter (longest path) of a binary tree.

    4 min
  4. 12.04
    Tree Codecs: Preorder Serialization and Level-Order Deserialization

    Design robust, compact tree serialization codecs to persist binary trees to string formats and reconstruct identical tree topologies via recursion and queues.

    4 min
MODULE SELF-CHECK

Ready to move on?

Serialize and deserialize complex binary trees with null sentinels.

Open the module self-check