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DSA · Theory

Graph (Data Structure)

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Theory

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Graph (Data Structure)

Amit only reaches for Graph (Data Structure) when bus routes has to stay correct in a city map.

Graph (Data Structure) on the board — BFS queue / DFS stack. Then say what bus routes looks like after.

Skip Graph (Data Structure) and no visited set → infinite loop shows up in a city map.

Graph (Data Structure) shows up in a city map. Name bus routes, not “a real-world scenario”.

Graph (Data Structure) trap — no visited set → infinite loop. Amit loses marks for that every viva.

Graph (Data Structure) is not a lonely heading. Amit ties it to bus routes.

Viva for Graph (Data Structure) — what it is → BFS queue / DFS stack → the mistake (no visited set → infinite loop).

Exam tip

For Graph (Data Structure): definition + a city map + one failure.

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)

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

Short notes

  • DefGraph (Data Structure) — Amit uses it for bus routes in a city map.
  • RuleGraph (Data Structure) → BFS queue / DFS stack.
  • RememberGraph (Data Structure) + Big-O (a city map).
  • UseGraph (Data Structure) in a city map (bus routes).
  • TrapGraph (Data Structure) — no visited set → infinite loop.
  • ExGraph (Data Structure) → bus routes.

Questions

1

Amit asks: why does Graph (Data Structure) exist? Use bus routes.

2

If you skip Graph (Data Structure), what breaks in a city map?

3

Which mistake makes bus routes fail?

4

Dry-run BFS queue / DFS stack and say the result.

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