In computer science, a Fibonacci heap is a data structure for priority queue operations, consisting of a collection of heap-ordered trees. It has a better...

the Fibonacci Quarterly. Applications of Fibonacci numbers include computer algorithms such as the Fibonacci search technique and the Fibonacci heap data...

empty heap, which is log-linear. 2–3 heap B-heap Beap Binary heap Binomial heap Brodal queue d-ary heap Fibonacci heap K-D Heap Leaf heap Leftist heap Skew...

strict Fibonacci heap is a priority queue data structure with low worst case time bounds. It matches the amortized time bounds of the Fibonacci heap in the...

{\displaystyle |V|} is the number of nodes. Fredman & Tarjan 1984 proposed a Fibonacci heap priority queue to optimize the running time complexity to Θ ( | E |...

Robert Tarjan in 1986. Pairing heaps are heap-ordered multiway tree structures, and can be considered simplified Fibonacci heaps. They are considered a "robust...

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.: 162–163  The...

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...

elements. Variants of the basic heap data structure such as pairing heaps or Fibonacci heaps can provide better bounds for some operations. Alternatively, when...

to run in linear time even more simply, by using a d-ary heap in place of a Fibonacci heap. Let P be a connected, weighted graph. At every iteration...

The structure is similar to a Fibonacci heap, and borrows ideas from the 2–3 tree. The time needed for some common heap operations are as follows. Delete-min...

{\displaystyle O(V^{2}\log {V}+VE)} running time with the Dijkstra algorithm and Fibonacci heap. In a non-bipartite weighted graph, the problem of maximum weight matching...

connected components algorithm, and co-inventor of both splay trees and Fibonacci heaps. Tarjan is currently the James S. McDonnell Distinguished University...

Corporation. P-923. Fredman, Michael Lawrence; Tarjan, Robert E. (1984). Fibonacci heaps and their uses in improved network optimization algorithms. 25th Annual...

{\log \log n}}}).} Brodal queues and strict Fibonacci heaps achieve optimal worst-case complexities for heaps. They were first described as imperative data...

Bx-tree Heap Min-max heap Binary heap B-heap Weak heap Binomial heap Fibonacci heap AF-heap Leonardo heap 2–3 heap Soft heap Pairing heap Leftist heap Treap...

instead of 2. Thus, a binary heap is a 2-heap, and a ternary heap is a 3-heap. According to Tarjan and Jensen et al., d-ary heaps were invented by Donald B...

operations take O(log n) time. For insertions, this is slower than Fibonacci heaps, which support insertion in O(1) (constant) amortized time, and O(log...

position in the heap, allowing this decrease-priority operation to be performed in logarithmic time. Alternatively, a Fibonacci heap can perform the same...

of the weak heap structure allow constant amortized time insertions and decrease-keys, matching the time for Fibonacci heaps. Weak heaps were introduced...

{\log \log n}}}).} Brodal queues and strict Fibonacci heaps achieve optimal worst-case complexities for heaps. They were first described as imperative data...

findmin(S): Get the element with minimum key in the soft heap Other heaps such as Fibonacci heaps achieve most of these bounds without any corruption, but cannot...

paths between unmatched vertices). Its run-time complexity, when using Fibonacci heaps, is O ( m n + n 2 log ⁡ n ) {\displaystyle O(mn+n^{2}\log n)} , where...

{\log \log n}}}).} Brodal queues and strict Fibonacci heaps achieve optimal worst-case complexities for heaps. They were first described as imperative data...

feedback vertex set Ferguson–Forcade algorithm Fibonacci number Fibonacci search Fibonacci tree Fibonacci heap Find find kth least element finitary tree finite...

Brahmagupta–Fibonacci identity Fibonacci coding Fibonacci cube Fibonacci heap Fibonacci polynomials Fibonacci prime Fibonacci pseudoprime Fibonacci quasicrystal...

implementation, others do exist. These are: Leftist heap Binomial heap Fibonacci Heap Pairing heap Skew heap A. Gambin and A. Malinowski. 1998. Randomized Meldable...

time complexity of O ( N 2 ) {\displaystyle O(N^{2})} , but using a Fibonacci heap it becomes O ( M + N log ⁡ N ) {\displaystyle O(M+N\log N)} , where...

Among his contributions to computer science are the development of the Fibonacci heap in a joint work with Robert Tarjan, the transdichotomous model of integer...

maximum. Also like heapsort, the priority queue is an implicit heap data structure (a heap-ordered implicit binary tree), which occupies a prefix of the...