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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.
A strict Fibonacci heap is a single tree satisfying the minimum-heap property. That is, the key of a node is always smaller than or equal to its children. As a direct consequence, the node with the minimum key always lies at the root. Like ordinary Fibonacci heaps, [4] strict Fibonacci heaps possess substructures similar to binomial heaps. To ...
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.
In computer science, a randomized meldable heap (also Meldable Heap or Randomized Meldable Priority Queue) is a priority queue based data structure in which the underlying structure is also a heap-ordered binary tree. However, there are no restrictions on the shape of the underlying binary tree.
A (max) heap is a tree-based data structure which satisfies the heap property: 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 addition to the operations of an abstract priority queue, the following table lists the complexity of two additional logical operations:
PHP has both max-heap (SplMaxHeap) and min-heap (SplMinHeap) as of version 5.3 in the Standard PHP Library. Perl has implementations of binary, binomial, and Fibonacci heaps in the Heap distribution available on CPAN. The Go language contains a heap package with heap algorithms that operate on an arbitrary type that satisfies a given interface ...
The potential function method is commonly used to analyze Fibonacci heaps, a form of priority queue in which removing an item takes logarithmic amortized time, and all other operations take constant amortized time. [4] It may also be used to analyze splay trees, a self-adjusting form of binary search tree with logarithmic amortized time per ...
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