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DSA · Theory

Assign directions to edges so that the directed graph remains acyclic

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Theory

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Assign directions to edges so that the directed graph remains acyclic

Assign directions to edges so that the directed graph remains acyclic is a DSA idea you prove with bus routes, not with a slogan.

Assign directions to edges so that the directed graph remains acyclic order: meaning → BFS queue / DFS stack → one limit. Dumping ten features helps nobody.

Without Assign directions to edges so that the directed graph remains acyclic, a city map gets messy and bus routes is hard to trust.

Assign directions to edges so that the directed graph remains acyclic shows up in a city map. Name bus routes, not “a real-world scenario”.

If bus routes breaks under Assign directions to edges so that the directed graph remains acyclic, check no visited set → infinite loop first.

Place Assign directions to edges so that the directed graph remains acyclic next to nearby DSA work — BFS queue / DFS stack is the link.

Viva for Assign directions to edges so that the directed graph remains acyclic: what it is → BFS queue / DFS stack → the mistake (no visited set → infinite loop).

Exam tip

Say Assign directions to edges so that the directed graph remains acyclic in one breath, then BFS queue / DFS stack, then 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)

Assign directions to edges so that the directed graph remains acyclic — graphs are often stored as adjacency lists: vertex → list of (neighbor, weight).

Short notes

  • DefAssign directions to edges so that the directed graph remains acyclic — Rohit uses it for bus routes in a city map.
  • RuleAssign directions to edges so that the directed graph remains acyclic → BFS queue / DFS stack.
  • RememberAssign directions to edges so that the directed graph remains acyclic + time vs memory (a city map).
  • UseAssign directions to edges so that the directed graph remains acyclic in a city map (bus routes).
  • TrapAssign directions to edges so that the directed graph remains acyclic — no visited set → infinite loop.
  • ExAssign directions to edges so that the directed graph remains acyclic → bus routes.

Questions

1

In one breath: what does Assign directions to edges so that the directed graph remains acyclic do for Rohit?

2

When would Rohit actually reach for Assign directions to edges so that the directed graph remains acyclic?

3

What trap does Rohit hit with Assign directions to edges so that the directed graph remains acyclic?

4

Show Assign directions to edges so that the directed graph remains acyclic in time vs memory terms — three lines max.

Previous← Sort an array of 0s, 1s and 2s | Dutch National Flag problemNextDependency Graph →
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