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# Overview

Originally developed by Michael L. Fredman and Robert E. Tarjan in 1984 and first published in a scientific journal in 1987, the name Fibonacci heap comes from Fibonacci numbers which are used in the running time analysis.

## Concept

The Fibonacci heap is a heap consisting of a collection of trees which satisfy the minimum-heap property.

## Algorithmic Complexity

Fibonacci heaps offers better amortized running time than binomial and binary heaps.

### Big-O

Heaps | Heapify | Find Max | Extract Max | Increase Key | Insert | Delete | Merge |
---|---|---|---|---|---|---|---|

Fibonacci Heap | - | O(1) | O(log(n))* | O(1)* | O(1) | O(log(n))* | O(1) |

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# Implementation

## Java Implementation

Coming soon!

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# References

Wikipedia: Fibonacci heap