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DSA · Theory

Dependency Graph

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Theory

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Dependency Graph

Priya only reaches for Dependency Graph when bus routes has to stay correct in a city map.

For Dependency Graph, time vs memory is in play. Don’t blame it until you have traced bus routes.

Skip Dependency Graph and no visited set → infinite loop shows up in a city map.

Priya ships Dependency Graph in a city map. That is the use case worth saying.

Dependency Graph trap — no visited set → infinite loop. Priya loses marks for that every viva.

Dependency Graph is not a lonely heading. Priya ties it to bus routes.

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

Exam tip

For Dependency Graph: 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)

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

Short notes

  • DefDependency Graph — Priya uses it for bus routes in a city map.
  • RuleDependency Graph → BFS queue / DFS stack.
  • RememberDependency Graph + time vs memory (a city map).
  • UseDependency Graph in a city map (bus routes).
  • TrapDependency Graph — no visited set → infinite loop.
  • ExDependency Graph → bus routes.

Questions

1

Priya asks: why does Dependency Graph exist? Use bus routes.

2

When would Priya actually reach for Dependency Graph?

3

What trap does Priya hit with Dependency Graph?

4

Show Dependency Graph in time vs memory terms — three lines max.

Previous← Assign directions to edges so that the directed graph remains acyclicNextDiameter of an N-ary tree →
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