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In a min-heap, which of the following is true about the parent and child nodes?

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Question: In a min-heap, which of the following is true about the parent and child nodes?

Options:

  1. Parent is always greater than children
  2. Parent is always less than children
  3. Parent can be equal to children
  4. None of the above

Correct Answer: Parent is always less than children

Solution:

In a min-heap, the parent node is always less than or equal to its children, ensuring the minimum element is at the root.

In a min-heap, which of the following is true about the parent and child nodes?

Practice Questions

Q1
In a min-heap, which of the following is true about the parent and child nodes?
  1. Parent is always greater than children
  2. Parent is always less than children
  3. Parent can be equal to children
  4. None of the above

Questions & Step-by-Step Solutions

In a min-heap, which of the following is true about the parent and child nodes?
  • Step 1: Understand what a min-heap is. A min-heap is a special type of binary tree where the smallest value is at the top (the root).
  • Step 2: In a min-heap, each parent node must be less than or equal to its child nodes. This means that if you look at any parent, its value will always be smaller than or equal to the values of its children.
  • Step 3: This property ensures that the smallest element in the entire heap is always at the root of the tree.
  • Step 4: Therefore, if you want to find the minimum element in a min-heap, you can simply look at the root node.
  • Min-Heap Properties – In a min-heap, each parent node is less than or equal to its child nodes, which maintains the heap property.
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