Gerth S. Brodal, George Lagogiannis, and Robert E. Tarjan
Complexities in big O notation
Space complexity
Space
O(n)
Time complexity
Function
Amortized
Worst Case
Insert
O(1)
Find-min
O(1)
Delete-min
O(log n)
Decrease-key
O(1)
Merge
O(1)
In computer science, a 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 worst case. To achieve these time bounds, strict Fibonacci heaps maintain several invariants by performing restoring transformations after every operation. These transformations can be done in constant time by using auxiliary data structures to track invariant violations, and the pigeonhole principle guarantees that these can be fixed. Strict Fibonacci heaps were invented in 2012 by Gerth S. Brodal, George Lagogiannis, and Robert E. Tarjan.
Along with Brodal queues, strict Fibonacci heaps belong to a class of asymptotically optimal data structures for priority queues.[1] All operations on strict Fibonacci heaps run in worst case constant time except delete-min, which is necessarily logarithmic. This is optimal, because any priority queue can be used to sort a list of elements by performing insertions and delete-min operations.[2] However, strict Fibonacci heaps are simpler than Brodal queues, which make use of dynamic arrays and redundant counters,[3] whereas the strict Fibonacci heap is pointer based only.
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Knuth, Donald E. (1998-04-24). The Art of Computer Programming: Sorting and Searching, Volume 3. Addison-Wesley Professional. ISBN 978-0-321-63578-5.
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Brodal, Gerth Stølting (1996-01-28). "Worst-case efficient priority queues". Proceedings of the Seventh Annual ACM-SIAM Symposium on Discrete Algorithms. SODA '96. USA: Society for Industrial and Applied Mathematics: 52–58. ISBN 978-0-89871-366-4.
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