In binary trees, the views and types refer to different perspectives and classifications of the tree structure.

##### Types of Views in Binary Tree are :

```
1
/ \
2 3
/ \ / \
4 5 6 7
/ \ \ /
8 9 10 11
```

**Horizontal View:**The horizontal view of a binary tree shows the nodes from left to right at each level. Nodes at the same level are listed in the order of their appearance, from left to right.

`1 2 3 4 5 6 7 8 9 10 11`

**Vertical View:**The vertical view of a binary tree shows the nodes from top to bottom, where nodes in the same vertical line are displayed in the order of their occurrence from top to bottom.

```
8
4
2 9 10
1 5 6 11
3 7
```

**Left View:**The left view of a binary tree shows the leftmost node at each level. It represents the visible nodes when looking at the tree from the left side.

`1 2 4 8`

**Right View:**The right view of a binary tree shows the rightmost node at each level. It represents the visible nodes when looking at the tree from the right side.

`1 3 7 11`

**Top View:**The top view of a binary tree displays the nodes visible when viewing the tree from the top. It shows the nodes on the vertical lines that intersect the topmost node at each horizontal distance.

`8 4 2 1 3 7 11`

**Bottom View:**The bottom view of a binary tree displays the nodes visible when viewing the tree from the bottom. It shows the nodes on the vertical lines that intersect the bottom-most node at each horizontal distance.

`8 9 10 5 6 11 7`

##### Time & Space complexity for each type of view in a binary tree:

View Type | Time Complexity | Space Complexity |
---|---|---|

Horizontal View | O(n) | O(n) |

Vertical View | O(n log n) | O(n) |

Left View | O(n) | O(n) |

Right View | O(n) | O(n) |

Top View | O(n log n) | O(n) |

Bottom View | O(n) | O(n) |

##### Types of Binary Trees:

**Full Binary Tree:**A binary tree in which every node has either 0 or 2 children.

```
1
/ \
2 3
/ \
4 5
```

**Complete Binary Tree:**A binary tree in which all levels, except possibly the last one, are completely filled, and all nodes are as left as possible.

```
1
/ \
2 3
/ \ /
4 5 6
```

**Perfect Binary Tree:**A binary tree in which all internal nodes have two children, and all leaf nodes are at the same level.

```
1
/ \
2 3
/ \ / \
4 5 6 7
```

**Balanced Binary Tree:**A binary tree in which the heights of the left and right subtrees of every node differ by at most one.

```
1
/ \
2 3
/ \
4 5
```

**Binary Search Tree (BST):**A binary tree in which for every node, all values in its left subtree are less than its value, and all values in its right subtree are greater than its value.

```
4
/ \
2 5
/ \ \
1 3 6
```

**Skewed Binary Tree:**is a special type of binary tree in which all the nodes are either in the left subtree or the right subtree.

```
1
/
2
/
3
/
4
OR
1
\
2
\
3
\
4
```

Binary Tree Type | Time Complexity | Space Complexity |
---|---|---|

Full Binary Tree | O(n) | O(n) |

Complete Binary Tree | O(n) | O(n) |

Perfect Binary Tree | O(log n) | O(log n) |

Balanced Binary Tree | O(log n) | O(log n) |

Binary Search Tree (BST) | Average Case: O(log n) | O(n) |

*Note: also read about* Binary Trees: Structure & Tree travels

**Follow Me**

If you like my post please follow me to read my latest post on programming and technology.

https://www.instagram.com/coderz.py/

https://www.facebook.com/coderz.py

Staying up to the mark is what defines me. Hi all! I’m Rabecca Fatima a keen learner, great enthusiast, ready to take new challenges as stepping stones towards flying colors.