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Chapter 14: Problem 43

What is a tree?

Short Answer

Expert verified
In Computer Science, a tree is non-linear data structure with nodes connected by 'edges', consisting of one root from which branch out zero or more subtrees. It's a hierarchical structure, used widely for data storage, organization, manipulation and searching. Nodes include a root node, child nodes, parent nodes and leaf nodes. The topology of a tree is governed by 'edges' while the height and depth are important attributes reflecting its structure.

Step by step solution

01

Understand the Components of a Tree

A tree in Computer Science consists of nodes. The tree starts from a unique node called the root, and branches out to end at nodes called leaves. Each Node might have one or more child nodes and at most one parent node making it a hierarchical structure, called sub-trees.
02

Understand the Tree and its Properties

A node without children is known as a leaf node. Nodes with the same parent are called siblings. The depth of a node is the length of the path to its root, and the height of a tree is the depth of its deepest node. A tree is 'empty' if it contains no nodes.
03

Present the Basic Tree Terminologies

The Root is the top-most node of the tree. The Edge is the link between two nodes. The Parent is a node, other than the root, which has at least one child. A node directly connected to another node when moving away from the Root is known as the Child. The Leaf is a node with no children. The Height of node is the length of the longest path to a leaf. The Depth of a node is the length of the path to its root (i.e., its root path).

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