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  2. Min-max heap - Wikipedia

    en.wikipedia.org/wiki/Min-max_heap

    A min-max heap is a complete binary tree containing alternating min (or even) and max (or odd) levels. Even levels are for example 0, 2, 4, etc, and odd levels are respectively 1, 3, 5, etc. We assume in the next points that the root element is at the first level, i.e., 0. Example of Min-max heap.

  3. Heap (data structure) - Wikipedia

    en.wikipedia.org/wiki/Heap_(data_structure)

    In computer science, a heap is a tree -based data structure that satisfies the heap property: In a max heap, for any given node C, if P is a parent node of C, then the key (the value) of P is greater than or equal to the key of C. In a min heap, the key of P is less than or equal to the key of C. [1] The node at the "top" of the heap (with no ...

  4. Fibonacci heap - Wikipedia

    en.wikipedia.org/wiki/Fibonacci_heap

    A Fibonacci heap is a collection of trees satisfying the minimum-heap property, that is, the key of a child is always greater than or equal to the key of the parent. This implies that the minimum key is always at the root of one of the trees. Compared with binomial heaps, the structure of a Fibonacci heap is more flexible.

  5. Binary heap - Wikipedia

    en.wikipedia.org/wiki/Binary_heap

    Example of a complete binary max-heap Example of a complete binary min heap. A binary heap is a heap data structure that takes the form of a binary tree. Binary heaps are a common way of implementing priority queues. [1]: 162–163 The binary heap was introduced by J. W. J. Williams in 1964, as a data structure for heapsort. [2]

  6. Binomial heap - Wikipedia

    en.wikipedia.org/wiki/Binomial_heap

    Decrease-key. Θ (log n) O (log n) Merge. Θ (log n) O (log n) In computer science, a binomial heap is a data structure that acts as a priority queue. It is an example of a mergeable heap (also called meldable heap), as it supports merging two heaps in logarithmic time. It is implemented as a heap similar to a binary heap but using a special ...

  7. Treap - Wikipedia

    en.wikipedia.org/wiki/Treap

    Treap. Rapidly exploring random tree. Related. Randomized algorithm. HyperLogLog. v. t. e. In computer science, the treap and the randomized binary search tree are two closely related forms of binary search tree data structures that maintain a dynamic set of ordered keys and allow binary searches among the keys.

  8. Heapsort - Wikipedia

    en.wikipedia.org/wiki/Heapsort

    The heapsort algorithm can be divided into two phases: heap construction, and heap extraction. The heap is an implicit data structure which takes no space beyond the array of objects to be sorted; the array is interpreted as a complete binary tree where each array element is a node and each node's parent and child links are defined by simple arithmetic on the array indexes.

  9. Pairing heap - Wikipedia

    en.wikipedia.org/wiki/Pairing_heap

    Pairing heap. A pairing heap is a type of heap data structure with relatively simple implementation and excellent practical amortized performance, introduced by Michael Fredman, Robert Sedgewick, Daniel Sleator, and Robert Tarjan in 1986. [1] Pairing heaps are heap-ordered multiway tree structures, and can be considered simplified Fibonacci heaps.