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:
“Product of a myriad various minds and contending tongues, compact of obscure and minute association, a language has its own abundant and often recondite laws, in the habitual and summary recognition of which scholarship consists.”
—Walter Pater (1839–1894)
“Executives are like joggers. If you stop a jogger, he goes on running on the spot. If you drag an executive away from his business, he goes on running on the spot, pawing the ground, talking business. He never stops hurtling onwards, making decisions and executing them.”
—Jean Baudrillard (b. 1929)
“I blame the newspapers because every day they call our attention to insignificant things, while three or four times in our lives, we read books that contain essential things. Once we feverishly tear the band of paper enclosing our newspapers, things should change and we should find—I do not know—the Pensées by Pascal!”
—Marcel Proust (1871–1922)