Prerequisites: Binomial Heap
Binomial trees are multiway trees typically stored in the leftchild, rightsibling representation, and each node stores its degree. Binomial heaps are collection of binomial trees stored in ascending order of size. The root list in the heap is a linked list of roots of the Binomial heap. The degree of the nodes of the roots increase as on traversing the root list.
The number of binomial trees in a binomial heap can be found with the binary value of the number of nodes in the binomial heap. This article focuses on memory representation of binomial heaps.
Binomial Heap Node:

Fields in each node:
Each node in a binomial heap has 5 fields :
 Pointer to parent
 Key
 Degree
 Pointer to child (leftmost child)
 Pointer to sibling which is immediately to its right

Pointers in each node:
Each node has the following pointers:
 A parent pointer pointing to the immediate parent of the node
 A left pointer pointing to the first child of the node
 A right pointer pointing to the next sibling of the node.
 Single node in the Heap:
 Parent – Child relationship between nodes:
 Sibling relationship between nodes:
 Binomial Heap
 Implementation of Binomial Heap
 Implementation of Binomial Heap  Set  2 (delete() and decreseKey())
 Convert min Heap to max Heap
 Heap Sort for decreasing order using min heap
 Array Representation Of Binary Heap
 Stack vs Heap Memory Allocation
 Difference between Byte Addressable Memory and Word Addressable Memory
 Applications of Heap Data Structure
 Tournament Tree (Winner Tree) and Binary Heap
 Time Complexity of building a heap
 Why is Binary Heap Preferred over BST for Priority Queue?
 Fibonacci Heap  Set 1 (Introduction)
 Check if a given Binary Tree is Heap
 Kary Heap
 Heap in C++ STL  make_heap(), push_heap(), pop_heap(), sort_heap(), is_heap, is_heap_until()
 Where is Heap Sort used practically?
 Binary Heap
 Given level order traversal of a Binary Tree, check if the Tree is a MinHeap
 How to implement stack using priority queue or heap?
Types of nodes and their representations:
Representation of Full binomial heap:
The memory representation of each node of the Binomial heap given above can be illustrated using the following diagram:
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