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DSA · Theory

Kruskal's Algorithm

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Theory

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Kruskal's Algorithm

Kruskal's Algorithm is a DSA topic. In plain words you use it for a short Kruskal's Algorithm example in a short dry-run on paper. Don’t start with a slogan — start with that picture.

Smallest example: the smallest Kruskal's Algorithm example you can type. Type it, run it, and say what you see. If you can do that from memory, you know Kruskal's Algorithm.

From the example next to this theory: Kruskal's Algorithm — graphs are often stored as adjacency lists: vertex → list of (neighbor, weight).

Trap — only saying “Kruskal's Algorithm” with no example. Fix that before you talk about advanced DSA.

Viva — what is Kruskal's Algorithm? Then show the smallest Kruskal's Algorithm example you can type. Then name the trap.

Exam tip

What is Kruskal's Algorithm? Show this: the smallest Kruskal's Algorithm example you can type. Trap: only saying “Kruskal's Algorithm” with no example.

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 — a short Kruskal's Algorithm example in a short dry-run on paper.
  • Rulethe smallest Kruskal's Algorithm example you can type
  • Traponly saying “Kruskal's Algorithm” with no example
  • Usea short dry-run on paper

Questions

1

What is Kruskal's Algorithm?

2

Give one small example of Kruskal's Algorithm.

3

What mistake do beginners make with Kruskal's Algorithm?

4

Where do you use Kruskal's Algorithm?

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