FUN'10 Proceedings of the 5th international conference on Fun with algorithms
The violation heap: a relaxed Fibonacci-like heap
COCOON'10 Proceedings of the 16th annual international conference on Computing and combinatorics
Strictly-Regular number system and data structures
SWAT'10 Proceedings of the 12th Scandinavian conference on Algorithm Theory
STOC '12 Proceedings of the forty-fourth annual ACM symposium on Theory of computing
SIAM Journal on Computing
The weak-heap data structure: Variants and applications
Journal of Discrete Algorithms
The weak-heap family of priority queues in theory and praxis
CATS '12 Proceedings of the Eighteenth Computing: The Australasian Theory Symposium - Volume 128
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We introduce a data structure which provides efficient heap operations with respect to the number of element comparisons performed. Let n denote the size of the heap being manipulated. Our data structure guarantees the worst-case cost of O(1) for finding the minimum, inserting an element, extracting an (unspecified) element, and replacing an element with a smaller element; and the worst-case cost of O(lg n) with at most lg n + 3 lg lg n + O(1) element comparisons for deleting an element. We thereby improve the comparison complexity of heap operations known for run-relaxed heaps and other worst-case efficient heaps. Furthermore, our data structure supports melding of two heaps of size m and n at the worst-case cost of O(min {lg m, lg n}).