Fibonacci Heap - Summary of Running Times

Summary of Running Times

Common Operations Effect Unsorted Linked List Self-balancing binary search tree Binary heap Binomial heap Fibonacci heap Brodal queue Pairing heap
insert(data,key) Adds data to the queue, tagged with key O(1) O(log n) O(log n) O(log n) O(1) O(1) O(1)
findMin -> key,data Returns key,data corresponding to min-value key O(n) O(log n) or O(1) (**) O(1) O(log n) O(1) O(1) O(1)
deleteMin Deletes data corresponding to min-value key O(n) O(log n) O(log n) O(log n) O(log n)* O(log n) O(log n)*
delete(node) Deletes data corresponding to given key, given a pointer to the node being deleted O(1) O(log n) O(log n) O(log n) O(log n)* O(log n) O(log n)*
decreaseKey(node) Decreases the key of a node, given a pointer to the node being modified O(1) O(log n) O(log n) O(log n) O(1)* O(1) Unknown but bounded: *
merge(heap1,heap2) -> heap3 Merges two heaps into a third O(1) O(m log(n+m)) O(m + n) O(log n)*** O(1) O(1) O(1)

(*)Amortized time
(**)With trivial modification to store an additional pointer to the minimum element
(***)Where n is the size of the larger heap

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