THE VIOLATION HEAP: A RELAXED FIBONACCI-LIKE HEAP

Author:

ELMASRY AMR1

Affiliation:

1. Max-Planck Institut für Informatik, Saarbrücken, Germany

Abstract

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Discrete Mathematics and Combinatorics

Cited by 5 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Smooth Heaps and a Dual View of Self-Adjusting Data Structures;SIAM Journal on Computing;2019-11-05

2. Smooth heaps and a dual view of self-adjusting data structures;Proceedings of the 50th Annual ACM SIGACT Symposium on Theory of Computing;2018-06-20

3. Hollow Heaps;ACM Transactions on Algorithms;2017-07-31

4. Replacing Mark Bits with Randomness in Fibonacci Heaps;Automata, Languages, and Programming;2015

5. Hollow Heaps;Automata, Languages, and Programming;2015

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