The Runtime Theory
AlgorithmsIn production

Graph Algorithms: BFS and DFS

Recording in progress
#graphs#bfs#dfs#algorithms

Breadth-first and depth-first search differ by exactly one data structure: a queue versus a stack. This video traces both traversals on real graphs, showing the frontier as it grows, what the visited set must remember, and why the choice changes which problems each algorithm solves.

Topics covered:

  • The only difference: queue vs stack, and why it matters
  • Traversal order traced node by node on sample graphs
  • The visited set: what the machine must remember
  • BFS layers and shortest paths in unweighted graphs
  • DFS recursion and the call stack as the implicit stack
  • Applications: connected components, topological sort, cycle detection

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