Tree Data Structures

<p>Level Order Traversal (C)</p> Signup and view all the answers

<p>Hierarchical data representation (A)</p> Signup and view all the answers

<p>Left -&gt; Right -&gt; Root (A)</p> Signup and view all the answers

<p>Search (B)</p> Signup and view all the answers

<p>Determining the shortest path (C)</p> Signup and view all the answers

<p>Level Order Traversal (D)</p> Signup and view all the answers

<p>Efficient searching and sorting (A)</p> Signup and view all the answers

<p>The first node from which the tree originates. (B)</p> Signup and view all the answers

<p>n-1 edges (C)</p> Signup and view all the answers

<p>Nodes that do not have any child. (B)</p> Signup and view all the answers

<p>The total number of children of that node. (D)</p> Signup and view all the answers

<p>The number of edges from the root to the highest leaf. (C)</p> Signup and view all the answers

<p>They belong to the same parent node. (D)</p> Signup and view all the answers

<p>Nodes that have at least one child. (A)</p> Signup and view all the answers

<p>The number of edges on the path from the root to the node. (C)</p> Signup and view all the answers

<p>Internal nodes are also called terminal nodes. (C), A tree can have multiple root nodes. (D)</p> Signup and view all the answers

<p>All nodes can be either internal or leaf nodes. (C)</p> Signup and view all the answers

<p>The length of the path from the root to a specific node, measured in edges. (C)</p> Signup and view all the answers

<p>A portion of the tree that includes a node and all its descendants. (D)</p> Signup and view all the answers

<p>It is defined as a tree where each node has at most two children. (A)</p> Signup and view all the answers

<p>Perfect binary tree (C)</p> Signup and view all the answers

<p>The left child contains values less than the parent and the right child contains values greater. (A)</p> Signup and view all the answers

<p>All sibling nodes are ancestors of each other. (C)</p> Signup and view all the answers

<p>Two children (C)</p> Signup and view all the answers

<p>The length of a path is defined as the number of edges in the path. (A)</p> Signup and view all the answers

<p>All levels are filled from left to right. (B)</p> Signup and view all the answers

<p>Generic trees (B)</p> Signup and view all the answers

A non-linear data structure that organizes data in a hierarchical structure, like a family tree.

The first node in a tree, from which all other nodes branch.

The connecting link between two nodes in a tree.

A node in a tree that has one or more child nodes.

A node in a tree that is connected to a parent node.

Nodes that share the same parent node.

The number of children a node has.

A node in a tree that has at least one child.

A node in a tree that does not have any children.

The number of edges along the longest path from a node to a leaf.

The length of the path from the root node to a specific node. In a tree, the number of edges from the root to the node determines its depth.

A portion of the tree that includes a node and all its descendants. Each child node forms a subtree recursively.

The sequence of nodes and edges connecting two nodes in a tree. The length of a path is the total number of nodes it includes.

Nodes that lie along the path from the root node to a specific node. For example, the ancestors of node 9 are 7, 3, and 1.

A tree data structure where each node has at most two children.

A binary tree where all levels are completely filled except the lowest level, which is filled from left to right.

A binary tree where every node has either zero or two children.

A special binary tree where all leaf nodes are at the same depth and all non-leaf nodes have two children.

A tree data structure used for organizing and storing data in a sorted manner. Nodes are arranged so that the left child has a smaller value than the parent, and the right child has a larger value.

A tree where each node can have an arbitrary number of children.

This traversal visits each node, starting at the root, then the left subtree, and finally the right subtree.

This traversal visits each node by first visiting the left subtree, then the root, and then the right subtree.

This traversal visits each node by first visiting the left subtree, then the right subtree, and finally the root.

This traversal explores nodes level by level, starting from the root, and proceeding to its children, then grandchildren, and so on.

To insert a new node into a BST, you start at the root and compare the value to be inserted with the current node's value. If the new value is smaller than the current node's value, move to the left child. Otherwise, move to the right child. Continue this process until you reach a null node, then insert the new node there.

To search for a value in a BST, start at the root and compare the target value with the current node's value. If they match, you've found the value. If the target value is smaller, move to the left child; otherwise, move to the right child. Continue this process until you find the value or reach a null node.

Deleting a node from a BST depends on the node's position and children. If it's a leaf, simply remove it. If it has one child, replace it with the child. If it has two children, replace it with its inorder successor (the smallest value in the right subtree) and then delete the successor from its original position.

Organizes data in a hierarchical structure, similar to a family tree, allowing for efficient searching and sorting.

BSTs are used in various applications. For example, file systems use them to organize files, databases use them for indexing, and network routing algorithms use them to determine the shortest path.

A BST can be traversed using various methods.