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DSA · Theory

Bridges in a Graph

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Theory

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Bridges in a Graph

If you can teach Bridges in a Graph using bus routes, you know it. If you only know the heading, you don’t.

Bridges in a Graph order — meaning → BFS queue / DFS stack → one limit. Dumping ten features helps nobody.

Bridges in a Graph exists so Meera can keep bus routes correct in a city map.

Bridges in a Graph shows up in a city map. Name bus routes, not “a real-world scenario”.

If bus routes breaks under Bridges in a Graph, check no visited set → infinite loop first.

Place Bridges in a Graph next to nearby DSA work — BFS queue / DFS stack is the link.

Close Bridges in a Graph with — “If I skip it, bus routes goes wrong like this: no visited set → infinite loop.”

Exam tip

Board: bus routes. Dry-run Bridges in a Graph. Name the trap: no visited set → infinite loop.

Example

# adjacency list
graph = {
    "A": [("B", 2), ("C", 5)],
    "B": [("A", 2), ("C", 1)],
    "C": [("A", 5), ("B", 1)],
}
for u, edges in graph.items():
    print(u, "->", edges)

Bridges in a Graph — graphs are often stored as adjacency lists: vertex → list of (neighbor, weight).

Short notes

  • DefBridges in a Graph — Meera uses it for bus routes in a city map.
  • RuleBridges in a Graph → BFS queue / DFS stack.
  • RememberBridges in a Graph + time vs memory (a city map).
  • UseBridges in a Graph in a city map (bus routes).
  • TrapBridges in a Graph — no visited set → infinite loop.
  • ExBridges in a Graph → bus routes.

Questions

1

Meera asks: why does Bridges in a Graph exist? Use bus routes.

2

Name one DSA screen/job that needs Bridges in a Graph.

3

Which mistake makes bus routes fail?

4

Write the smallest Bridges in a Graph step on bus routes. What happens?

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