THE VIOLATION HEAP: A RELAXED FIBONACCI-LIKE HEAP

AMR ELMASRY
2010 Discrete Mathematics, Algorithms and Applications (DMAA)  
We give a priority queue that achieves the same amortized bounds as Fibonacci heaps. Namely, find-min requires O(1) worst-case time, insert, meld and decrease-key require O(1) amortized time, and delete-min requires O(log n) amortized time. Our structure is simple and promises an efficient practical behavior when compared to other known Fibonacci-like heaps. The main idea behind our construction is to propagate rank updates instead of performing cascaded cuts following a decrease-key operation, allowing for a relaxed structure.
doi:10.1142/s1793830910000838 fatcat:mycbnggcyfem3fp2aywn6tmasi