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Which of the following techniques can be used to optimize the Union operation in

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Question: Which of the following techniques can be used to optimize the Union operation in Disjoint Set Union?

Options:

  1. Path compression
  2. Binary search
  3. Heapification
  4. Graph traversal

Correct Answer: Path compression

Solution: 

Path compression is a technique used to optimize the Union operation in Disjoint Set Union by flattening the structure of the tree whenever \'Find\' is called.

Which of the following techniques can be used to optimize the Union operation in

Practice Questions

Q1
Which of the following techniques can be used to optimize the Union operation in Disjoint Set Union?
  1. Path compression
  2. Binary search
  3. Heapification
  4. Graph traversal

Questions & Step-by-Step Solutions

Which of the following techniques can be used to optimize the Union operation in Disjoint Set Union?
  • Step 1: Understand what a Disjoint Set Union (DSU) is. It is a data structure that keeps track of a set of elements partitioned into disjoint (non-overlapping) subsets.
  • Step 2: Learn about the Union operation. This operation combines two subsets into a single subset.
  • Step 3: Know what the Find operation does. It determines which subset a particular element belongs to.
  • Step 4: Realize that the structure of the tree representing the subsets can become tall and inefficient, making the Find operation slow.
  • Step 5: Introduce path compression. This technique makes the tree flatter by making nodes point directly to the root of the tree during the Find operation.
  • Step 6: Understand that by flattening the tree, future Find operations will be faster because they will have fewer nodes to traverse.
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