Contents

- 1 What is a tree as learned in computer science?
- 2 What is tree and its types?
- 3 What is tree example?
- 4 What is a tree and graph?
- 5 What is difference between tree and graph?
- 6 Why tree is an important data structure?
- 7 What is a perfect tree?
- 8 What is full tree?
- 9 What is a general tree?
- 10 Is an example of a tree?
- 11 What benefits can we get from trees?
- 12 What are the common trees?
- 13 How do you prove a graph is a tree?
- 14 Is tree a graph?
- 15 Is a tree a simple graph?

## What is a tree as learned in computer science?

A tree is an important data structure of computer science which is useful for storing hierarchically ordered data. So in computer science, these nodes will be arranged in a hierarchical order to make a tree.

## What is tree and its types?

A tree is a representation of the non-linear data structure. A tree can be shown using different user-defined or primitive types of data. We can use arrays, and classes connected lists or other kinds of data structures to implement the tree. It is a group of interrelated nodes.

## What is tree example?

Now that we have studied linear data structures like stacks and queues and have some experience with recursion, we will look at a common data structure called the tree. Trees are used in many areas of computer science, including operating systems, graphics, database systems, and computer networking.

## What is a tree and graph?

Graph and tree are the non-linear data structure which is used to solve various complex problems. A graph is a group of vertices and edges where an edge connects a pair of vertices whereas a tree is considered as a minimally connected graph which must be connected and free from loops.

## What is difference between tree and graph?

Graph is a non-linear data structure. Tree is a non-linear data structure. It is a collection of vertices/nodes and edges. But in case of binary trees every node can have at the most two child nodes.

## Why tree is an important data structure?

Why Tree? Unlike Array and Linked List, which are linear data structures, tree is hierarchical (or non-linear) data structure. If we organize keys in form of a tree (with some ordering e.g., BST), we can search for a given key in moderate time (quicker than Linked List and slower than arrays).

## What is a perfect tree?

A perfect binary tree is a binary tree in which all interior nodes have two children and all leaves have the same depth or same level. An example of a perfect binary tree is the (non-incestuous) ancestry chart of a person to a given depth, as each person has exactly two biological parents (one mother and one father).

## What is full tree?

According to wikipedia. A full binary tree (sometimes proper binary tree or 2- tree ) is a tree in which every node other than the leaves has two children. A complete binary tree is a binary tree in which every level, except possibly the last, is completely filled, and all nodes are as far left as possible.

## What is a general tree?

In the data structure, General tree is a tree in which each node can have either zero or many child nodes. It can not be empty. In general tree, there is no limitation on the degree of a node. The topmost node of a general tree is called the root node. There are many subtrees in a general tree.

## Is an example of a tree?

Trees are big and tall plants with very thick and hard stems. Examples of trees are banyan, mango, cashew, neem, papaya, etc.

## What benefits can we get from trees?

Trees give off oxygen that we need to breathe. Trees reduce the amount of storm water runoff, which reduces erosion and pollution in our waterways and may reduce the effects of flooding. Many species of wildlife depend on trees for habitat. Trees provide food, protection, and homes for many birds and mammals.

## What are the common trees?

Common Trees of India

S.No. | Species |
---|---|

1 | Chir pine (Pinus roxburghii) |

2 | Teak (Tectona grandis) |

3 | Shisham (Dalbergia sissoo) |

4 | Sandal (Santalum album Linn.) |

## How do you prove a graph is a tree?

Theorem: An undirected graph is a tree iff there is exactly one simple path between each pair of vertices. Proof: If we have a graph T which is a tree, then it must be connected with no cycles. Since T is connected, there must be at least one simple path between each pair of vertices.

## Is tree a graph?

In graph theory, a tree is an undirected graph in which any two vertices are connected by exactly one path, or equivalently a connected acyclic undirected graph.

## Is a tree a simple graph?

Definition: A tree is a connected graph without any cycles, or a tree is a connected acyclic graph. The edges of a tree are called branches. It follows immediately from the definition that a tree has to be a simple graph (because self-loops and parallel edges both form cycles).