What is a Fibonacci heap?

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What is a Fibonacci heap?

A Fibonacci heap is a data structure that is used to efficiently implement priority queues. It is named after the Fibonacci sequence, as it utilizes the properties of the sequence to achieve its efficiency. A Fibonacci heap consists of a collection of min-heap-ordered trees, where each tree follows the min-heap property. It supports several operations such as insert, merge, decrease key, delete minimum, and extract minimum, all of which have amortized constant time complexity. This makes Fibonacci heaps particularly useful in algorithms that require frequent updates to the priority queue, such as Dijkstra's algorithm and Prim's algorithm.