FLOWCHART

Breadth-first search algorithm flowchart

This breadth-first search algorithm flowchart shows the queue-based order that distinguishes BFS from other graph traversals. The process starts by reading a graph and start vertex, marking that vertex visited, and placing it in the queue. The central subroutine then repeats the three essential actions: dequeue a vertex, record it, and enqueue each previously unvisited neighbor.

UPDATED 2026-09-23
USE-CASEAlgorithm
EXAMPLEBreadth-first search algorithm flowchart
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CASE ANALYSIS

Scenario

A student documents breadth-first search as a queue-driven graph traversal and needs the visited rule shown alongside the traversal order.

Key decisions

  • Queue initialization: The start vertex is marked before it enters the queue, avoiding duplicate work.
  • FIFO traversal: Dequeueing the next vertex makes the traversal breadth-first rather than depth-first.
  • Visited neighbors: Each unvisited neighbor is marked and enqueued during processing of the current vertex.
  • Loop subroutine: The queue-empty condition is stated inside a subroutine so the rendered diagram remains compact.

When to reuse this

Use this for an unweighted graph traversal or shortest-hop explanation. Add parent and distance updates when the diagram is used for shortest paths.

FAQ

Frequently asked questions

Why does BFS use a queue?01
A first-in, first-out queue processes vertices by layers from the starting vertex.
When is a neighbor marked visited?02
It is marked when it is enqueued, before another vertex can enqueue it again.
Can this find shortest paths?03
Yes, BFS can find shortest paths by edge count in an unweighted graph when distance and parent data are added.
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