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  2. Priority queue - Wikipedia

    en.wikipedia.org/wiki/Priority_queue

    For applications that do many "peek" operations for every "extract-min" operation, the time complexity for peek actions can be reduced to O(1) in all tree and heap implementations by caching the highest priority element after every insertion and removal. For insertion, this adds at most a constant cost, since the newly inserted element is ...

  3. Min-max heap - Wikipedia

    en.wikipedia.org/wiki/Min-max_heap

    This makes the min-max heap a very useful data structure to implement a double-ended priority queue. Like binary min-heaps and max-heaps, min-max heaps support logarithmic insertion and deletion and can be built in linear time. [3] Min-max heaps are often represented implicitly in an array; [4] hence it's referred to as an implicit data structure.

  4. Skew binomial heap - Wikipedia

    en.wikipedia.org/wiki/Skew_binomial_heap

    In computer science, a skew binomial heap (or skew binomial queue) is a data structure for priority queue operations. It is a variant of the binomial heap that supports constant-time insertion operations in the worst case, rather than amortized time .

  5. Binary heap - Wikipedia

    en.wikipedia.org/wiki/Binary_heap

    Thus, the insertion operation has a worst-case time complexity of O(log n). For a random heap, and for repeated insertions, the insertion operation has an average-case complexity of O(1). [4] [5] As an example of binary heap insertion, say we have a max-heap and we want to add the number 15 to the heap.

  6. Binomial heap - Wikipedia

    en.wikipedia.org/wiki/Binomial_heap

    Here are time complexities [5] of various heap data structures. The abbreviation am. indicates that the given complexity is amortized, otherwise it is a worst-case complexity. For the meaning of "O(f)" and "Θ(f)" see Big O notation. Names of operations assume a min-heap.

  7. Fibonacci heap - Wikipedia

    en.wikipedia.org/wiki/Fibonacci_heap

    Space complexity; Time complexity ... Decrease-key: Θ(1) Merge: Θ(1) In computer science, a Fibonacci heap is a data structure for priority queue ... The insertion ...

  8. Van Emde Boas tree - Wikipedia

    en.wikipedia.org/wiki/Van_Emde_Boas_tree

    A van Emde Boas tree (Dutch pronunciation: [vɑn ˈɛmdə ˈboːɑs]), also known as a vEB tree or van Emde Boas priority queue, is a tree data structure which implements an associative array with m-bit integer keys. It was invented by a team led by Dutch computer scientist Peter van Emde Boas in 1975. [1]

  9. Randomized meldable heap - Wikipedia

    en.wikipedia.org/wiki/Randomized_meldable_heap

    As all non-constant-time operations are defined in terms of the Meld operation, the efficiency of these operations can be determined through analysis of the complexity of melding two randomized heaps. The result of this analysis is that the expected time of any meldable priority queue operation on a n-node randomized heap is O(logn). [1] [2]