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DSA · Theory

Detect Cycle in Graph using DSU

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Theory

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Detect Cycle in Graph using DSU

Detect Cycle in Graph using DSU (alt) is simple if you keep it on paper. Isha uses it for bus routes in a city map.

Keep Detect Cycle in Graph using DSU (alt) small. Isha should finish bus routes in a few lines, not a 40-line dump.

Detect Cycle in Graph using DSU (alt) exists so Isha can keep bus routes correct in a city map.

Use Detect Cycle in Graph using DSU (alt) when bus routes must stay clear. If a simpler DSA step works, use that instead.

Don’t do this with Detect Cycle in Graph using DSU (alt): no visited set → infinite loop. Interviewers spot it in ten seconds.

Place Detect Cycle in Graph using DSU (alt) next to nearby DSA work — BFS queue / DFS stack is the link.

One breath for Detect Cycle in Graph using DSU (alt), then bus routes, then no visited set → infinite loop. Sit down.

Exam tip

Say Detect Cycle in Graph using DSU (alt) 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)

Detect Cycle in Graph using DSU (alt) — graphs are often stored as adjacency lists: vertex → list of (neighbor, weight).

Short notes

  • DefDetect Cycle in Graph using DSU (alt) — Isha uses it for bus routes in a city map.
  • RuleDetect Cycle in Graph using DSU (alt) → BFS queue / DFS stack.
  • RememberDetect Cycle in Graph using DSU (alt) + a dry-run table (a city map).
  • UseDetect Cycle in Graph using DSU (alt) in a city map (bus routes).
  • TrapDetect Cycle in Graph using DSU (alt) — no visited set → infinite loop.
  • ExDetect Cycle in Graph using DSU (alt) → bus routes.

Questions

1

Isha asks: why does Detect Cycle in Graph using DSU (alt) exist? Use bus routes.

2

Where does Detect Cycle in Graph using DSU (alt) show up in a city map?

3

Which mistake makes bus routes fail?

4

Write the smallest Detect Cycle in Graph using DSU (alt) step on bus routes. What happens?

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