Table of Contents

## What is leftist heap property?

Definition: the leftist heap property is that for every node x in the heap, the null path length of the left child is at least as large as that of the right child. This property biases the tree to get deep towards the left. It may generate very unbalanced trees, which facilitates merging!

**Why is the heap named leftist heap?**

Explanation: The heap is named as leftist heap because it tends to have deep left paths. Explanation: When two leftist heaps are merged, if the left subtree of the root has a null path length of 1 and the right subtree has a null path length of 2, leftist property is violated at the root.

**What is heap explain?**

Heaps. Definition: A heap is a specialized tree-based data structure that satisfied the heap property: if B is a child node of A, then key(A) ≥ key(B). This implies that an element with the greatest key is always in the root node, and so such a heap is sometimes called a max-heap. Of course, there’s also a min-heap.

### What is binomial heap with example?

A Binomial Heap with n nodes has the number of Binomial Trees equal to the number of set bits in the Binary representation of n. For example let n be 13, there 3 set bits in the binary representation of n (00001101), hence 3 Binomial Trees.

**What do you mean by leftist heap explain the importance of leftist heap?**

A leftist tree or leftist heap is a priority queue implemented with a variant of a binary heap. Every node has an s-value (or rank or distance) which is the distance to the nearest leaf. In contrast to a binary heap (Which is always a complete binary tree), a leftist tree may be very unbalanced.

**What is the use of heap?**

Heaps are used in many famous algorithms such as Dijkstra’s algorithm for finding the shortest path, the heap sort sorting algorithm, implementing priority queues, and more. Essentially, heaps are the data structure you want to use when you want to be able to access the maximum or minimum element very quickly.

## What is DFS and BFS?

BFS stands for Breadth First Search. DFS stands for Depth First Search. DFS(Depth First Search) uses Stack data structure. 3. BFS can be used to find single source shortest path in an unweighted graph, because in BFS, we reach a vertex with minimum number of edges from a source vertex.

**What are the two types of heap?**

Generally, Heaps can be of two types:

- Max-Heap: In a Max-Heap the key present at the root node must be greatest among the keys present at all of it’s children.
- Min-Heap: In a Min-Heap the key present at the root node must be minimum among the keys present at all of it’s children.

**Who invented binomial heap?**

Binary heap

Binary (min) heap | |
---|---|

Type | binary tree/heap |

Invented | 1964 |

Invented by | J. W. J. Williams |

Time complexity in big O notation |

### Where is binomial heap used?

In computer science, a binomial heap is a data structure that acts as a priority queue but also allows pairs of heaps to be merged. It is important as an implementation of the mergeable heap abstract data type (also called meldable heap), which is a priority queue supporting merge operation.

**What is the difference between binary heap and leftist heap?**

**Is a self adjusting version of a leftist heap?**

Explanation: A skew heap is a self-adjusting version of a leftist heap and it is simpler to implement.