The height of a binary search tree (BST) is defined as the length of the longest path from the root to a leaf. This path encompasses the maximum number of edges traversed from the root node down to the deepest leaf node in the tree structure.

To elaborate, a binary search tree is a node-based data structure that maintains a sorted order of elements, facilitating efficient search, insert, and delete operations. The term "height" is crucial in analyzing the performance of these operations, since it directly impacts the time complexity. A balanced binary search tree aims to keep the height minimal, thereby maintaining operations close to O(log n), where n is the number of nodes in the tree. Conversely, if the tree becomes unbalanced, such as in the case of inserting sorted data, the height can increase to O(n), leading to less efficient operations.

In summary, the height of a binary search tree refers to the longest path from the root to any leaf node.

Question

The height of a binary search tree (BST) is defined as the length of the longest path from the root to a leaf. This path encompasses the maximum number of edges traversed from the root node down to the deepest leaf node in the tree structure.

To elaborate, a binary search tree is a node-based data structure that maintains a sorted order of elements, facilitating efficient search, insert, and delete operations. The term "height" is crucial in analyzing the performance of these operations, since it directly impacts the time complexity. A balanced binary search tree aims to keep the height minimal, thereby maintaining operations close to O(log n), where n is the number of nodes in the tree. Conversely, if the tree becomes unbalanced, such as in the case of inserting sorted data, the height can increase to O(n), leading to less efficient operations.

In summary, the height of a binary search tree refers to the longest path from the root to any leaf node.

Knowee AI · Accepted Answer

The height of a binary search tree (BST) is defined as the length of the longest path from the root to a leaf. This path encompasses the maximum number of edges traversed from the root node down to the deepest leaf node in the tree structure.

To elaborate, a binary search tree is a node-based data structure that maintains a sorted order of elements, facilitating efficient search, insert, and delete operations. The term "height" is crucial in analyzing the performance of these operations, since it directly impacts the time complexity. A balanced binary search tree aims to keep the height minimal, thereby maintaining operations close to O(log n), where n is the number of nodes in the tree. Conversely, if the tree becomes unbalanced, such as in the case of inserting sorted data, the height can increase to O(n), leading to less efficient operations.

In summary, the height of a binary search tree refers to the longest path from the root to any leaf node.

The height of a binary search tree is the length of the ________ path from the root to a leaf.shortestlongestleftmostrightmost

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The height of a binary search tree is the length of the ________ path from the root to a leaf.

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