In a max-heap, which of the following statements is true?

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Question: In a max-heap, which of the following statements is true?

Options:

Correct Answer: The parent is always greater than the children

Solution:

In a max-heap, the parent node is always greater than or equal to its children, maintaining the max-heap property.

In a max-heap, which of the following statements is true?

In a max-heap, which of the following statements is true?

Step 1: Understand what a max-heap is. A max-heap is a special type of binary tree where the value of each parent node is greater than or equal to the values of its children.
Step 2: Identify the max-heap property. This property ensures that for any given node, the value is always greater than or equal to the values of its left and right children.
Step 3: Apply the max-heap property to a specific example. If you have a parent node with a value of 10, its children can have values like 5 and 7, but not 12, because 12 is greater than 10.
Step 4: Conclude that in a max-heap, the statement 'the parent node is always greater than or equal to its children' is true.

Max-Heap Property – In a max-heap, each parent node must be greater than or equal to its child nodes, ensuring the maximum element is always at the root.