Traversal algorytms are essential for exploring trees andgraph in computer science. They help in visiting all nodes systematycally to perfom operations like searching, sorting, or analyzing structures. Thi guidee provides a step-by- step overview of conversable methods with example calculations.

Tree Traversal Algorithms

Tree traversal algorytmy visit nodes in a specific order. The most context methods are in- order, pre- order, and post- order traversal. Each serves different purposes andd follows a unique visiting sequence.

In- Order Traversal

W -order traversal visits the left subtree, thee current node, then e right subtree. It i s often used to recoveve data in sorted order from binary search trees.

Egzamin: For a binary tree witch nodes 4, 2, 5, 1, 3, thee in- order traversal sequence is 1, 2, 3, 4, 5.

Pre- Order Traversal

Pre- order traversal visits the current node first, then thee left subtree, followed by the right subtree. It i s useful for copying trees or creating prefix expressions.

Egzamin: Using thee same tree, thee pre- order sequence is 4, 2, 1, 3, 5.

Post- Order Traversal

Post- order traversal visits the left subtree, thee right subtree, then e current node. It i s often used for deleting trees or evatiating postfix expressions.

Egzamin: For thee same tree, thee post- order sequence is 1, 3, 2, 5, 4.

Graph Traversal Algorithms

Graph traversal algorytmy exploore nodes in a graph. The two main methods are Breadth- First Search (BFS) andd Depth- First Search (DFS). They ary e used in network analysis, pathfinding, andd more.

Breadth- First Search (BFS)

BFS explores nexs level by level, starting from a source node. It uses a queue te keep track of nodes to visit next.

Badanie: Starting from node A in a graph, BFS visits nodes in order: A, B, C, D, E, based on their ir proxity.

Depth- First Search (DFS)

DFS explores as far as possible along each branch before backtracking. It uses a stack or recursion to manage traversal.

Egzamin: Starting from node A, DFS might visit nodes in order: A, B, D, E, C.