What is depth-first search in graph theory?
An example of an AI chatbot conversation about depth-first search in graph theory.
What is depth-first search in graph theory?
Depth-first search (DFS) is an algorithm for traversing or searching tree or graph data structures. It starts at the root and explores as far as possible along each branch before backtracking.
Can you explain how DFS works step by step?
Sure! DFS uses a stack to keep track of the nodes to visit. It starts at a selected node, marks it as visited, and then explores each unvisited neighbor recursively until all nodes are visited.
What are some applications of depth-first search?
DFS is used in various applications like pathfinding, topological sorting, and solving puzzles like mazes. It's also useful in network analysis.
How does DFS compare to breadth-first search?
DFS explores as far as possible down one branch before backtracking, while breadth-first search explores all neighbors at the present depth prior to moving on to nodes at the next depth level.
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