Programming for Mathematical Applications
Depth-first search (DFS) is an algorithm used to explore all the vertices and edges of a graph by starting at a root node and exploring as far as possible along each branch before backtracking. This method is particularly effective for traversing trees and graphs, allowing for efficient exploration and search within complex structures. DFS can be implemented using recursion or an explicit stack data structure, and it is often used in various applications like pathfinding, topological sorting, and solving puzzles.
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