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DSA · Theory

Boruvka's algorithm for Minimum Spanning Tree

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Theory

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Boruvka's algorithm for Minimum Spanning Tree

Boruvka's algorithm for Minimum Spanning Tree is a DSA topic. In plain words you use it for folder on disk in a file explorer. Don’t start with a slogan — start with that picture.

Smallest example: left < root < right. Type it, run it, and say what you see. If you can do that from memory, you know Boruvka's algorithm for Minimum Spanning Tree.

From the example next to this theory — Boruvka's algorithm for Minimum Spanning Tree: dry-run [4, 1, 3].

Trap — unbalanced BST becoming a list. Fix that before you talk about advanced DSA.

Viva — what is Boruvka's algorithm for Minimum Spanning Tree? Then show left < root < right. Then name the trap.

Exam tip

What is Boruvka's algorithm for Minimum Spanning Tree? Show this: left < root < right. Trap: unbalanced BST becoming a list.

Example

# Boruvka's algorithm for Minimum Spanning Tree
data = [4, 1, 3]
print("start", data)
if data[0] > data[1]:
    data[0], data[1] = data[1], data[0]
print("after one step", data)

Boruvka's algorithm for Minimum Spanning Tree: dry-run [4, 1, 3]. Say the list after one step.

Short notes

  • DefBoruvka's algorithm for Minimum Spanning Tree — folder on disk in a file explorer.
  • Ruleleft < root < right
  • Trapunbalanced BST becoming a list
  • Usea file explorer

Questions

1

What is Boruvka's algorithm for Minimum Spanning Tree?

2

Give one small example of Boruvka's algorithm for Minimum Spanning Tree.

3

What mistake do beginners make with Boruvka's algorithm for Minimum Spanning Tree?

4

Where do you use Boruvka's algorithm for Minimum Spanning Tree?

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