QuestionJune 2, 2025

When new node is added to a Red -Black tree, which property is checked to determine that a violation exists? The uncle node is black. The parent node is red. The uncle node is red. The parent node is black.

When new node is added to a Red -Black tree, which property is checked to determine that a violation exists? The uncle node is black. The parent node is red. The uncle node is red. The parent node is black.
When new node is added to a Red -Black tree, which property is checked to determine that a violation exists? The uncle node is black. The parent node is red. The uncle node is red. The parent node is black.

Solution
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Answer

The parent node is red. Explanation 1. Identify Red-Black Tree Properties In a Red-Black tree, the key property that can be violated when a new node is added is that no two consecutive red nodes are allowed. This means if a newly inserted node's parent is red, it violates this property. 2. Determine Violation Condition The violation occurs specifically when the **parent node is red** because it may lead to two consecutive red nodes (the new node and its parent).

Explanation

1. Identify Red-Black Tree Properties<br /> In a Red-Black tree, the key property that can be violated when a new node is added is that no two consecutive red nodes are allowed. This means if a newly inserted node's parent is red, it violates this property.<br /><br />2. Determine Violation Condition<br /> The violation occurs specifically when the **parent node is red** because it may lead to two consecutive red nodes (the new node and its parent).
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