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DSA · Theory

Kruskal's Algorithm

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Theory

42/810

Kruskal's Algorithm

Ananya only reaches for Kruskal's Algorithm when Kruskal's Algorithm on Ananya's board has to stay correct in a campus project.

Kruskal's Algorithm order: meaning → one Kruskal's Algorithm step Ananya can write from memory → one limit. Dumping ten features helps nobody.

Skip Kruskal's Algorithm and copy-pasting Kruskal's Algorithm without a dry-run shows up in a campus project.

Use Kruskal's Algorithm when Kruskal's Algorithm on Ananya's board must stay clear. If a simpler DSA step works, use that instead.

If Kruskal's Algorithm on Ananya's board breaks under Kruskal's Algorithm, check copy-pasting Kruskal's Algorithm without a dry-run first.

Place Kruskal's Algorithm next to nearby DSA work — one Kruskal's Algorithm step Ananya can write from memory is the link.

Viva for Kruskal's Algorithm: what it is → one Kruskal's Algorithm step Ananya can write from memory → the mistake (copy-pasting Kruskal's Algorithm without a dry-run).

Exam tip

Board: Kruskal's Algorithm on Ananya's board. Dry-run Kruskal's Algorithm. Name the trap: copy-pasting Kruskal's Algorithm without a dry-run.

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)

Kruskal's Algorithm — graphs are often stored as adjacency lists: vertex → list of (neighbor, weight).

Short notes

  • DefKruskal's Algorithm — Ananya uses it for Kruskal's Algorithm on Ananya's board in a campus project.
  • RuleKruskal's Algorithm → one Kruskal's Algorithm step Ananya can write from memory.
  • RememberKruskal's Algorithm + Big-O (a campus project).
  • UseKruskal's Algorithm in a campus project (Kruskal's Algorithm on Ananya's board).
  • TrapKruskal's Algorithm — copy-pasting Kruskal's Algorithm without a dry-run.
  • ExKruskal's Algorithm → Kruskal's Algorithm on Ananya's board.

Questions

1

What is Kruskal's Algorithm? Teach it with Kruskal's Algorithm on Ananya's board.

2

If you skip Kruskal's Algorithm, what breaks in a campus project?

3

What trap does Ananya hit with Kruskal's Algorithm?

4

Show Kruskal's Algorithm in Big-O terms — three lines max.

Previous← Prim's AlgorithmNextAdjacency Matrix in Data Structures →
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