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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

If you can teach Boruvka's algorithm for Minimum Spanning Tree using folder on disk, you know it. If you only know the heading, you don’t.

Keep Boruvka's algorithm for Minimum Spanning Tree small. Priya should finish folder on disk in a few lines, not a 40-line dump.

Skip Boruvka's algorithm for Minimum Spanning Tree and unbalanced BST becoming a list shows up in a file explorer.

Boruvka's algorithm for Minimum Spanning Tree shows up in a file explorer. Name folder on disk, not “a real-world scenario”.

Boruvka's algorithm for Minimum Spanning Tree trap: unbalanced BST becoming a list. Priya loses marks for that every viva.

Place Boruvka's algorithm for Minimum Spanning Tree next to nearby DSA work — left < root < right is the link.

One breath for Boruvka's algorithm for Minimum Spanning Tree, then folder on disk, then unbalanced BST becoming a list. Sit down.

Exam tip

For Boruvka's algorithm for Minimum Spanning Tree: definition + a file explorer + one failure.

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 — Priya uses it for folder on disk in a file explorer.
  • RuleBoruvka's algorithm for Minimum Spanning Tree → left < root < right.
  • RememberBoruvka's algorithm for Minimum Spanning Tree + time vs memory (a file explorer).
  • UseBoruvka's algorithm for Minimum Spanning Tree in a file explorer (folder on disk).
  • TrapBoruvka's algorithm for Minimum Spanning Tree — unbalanced BST becoming a list.
  • ExBoruvka's algorithm for Minimum Spanning Tree → folder on disk.

Questions

1

Priya asks: why does Boruvka's algorithm for Minimum Spanning Tree exist? Use folder on disk.

2

If you skip Boruvka's algorithm for Minimum Spanning Tree, what breaks in a file explorer?

3

How do you catch unbalanced BST becoming a list?

4

Dry-run left < root < right and say the result.

Previous← Add all Greater Values to Every Node in a given Binary Search TreeNextBurkhard Keller Tree ( BK Tree ) →
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