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

Read more about this topic:  Fibonacci Heap

Famous quotes containing the words summary, running and/or times:

    I have simplified my politics into an utter detestation of all existing governments; and, as it is the shortest and most agreeable and summary feeling imaginable, the first moment of an universal republic would convert me into an advocate for single and uncontradicted despotism. The fact is, riches are power, and poverty is slavery all over the earth, and one sort of establishment is no better, nor worse, for a people than another.
    George Gordon Noel Byron (1788–1824)

    ...give, and it will be given to you. A good measure, pressed down, shaken together, running over, will be put into your lap; for the measure you give will be the measure you get back.
    Bible: New Testament, Luke 6:38.

    Your children don’t have equal talents now and they won’t have equal opportunities later in life. You may be able to divide resources equally in childhood, but your best efforts won’t succeed in shielding them from personal or physical crises. . . . Your heart will be broken a thousand times if you really expect to equalize your children’s happiness by striving to love them equally.
    Marianne E. Neifert (20th century)